\PassOptionsToPackage{ a5paper, width = 93pt }{geometry}
\PassOptionsToPackage{ T1 }{fontenc}
\PassOptionsToPackage{ utf8x, utf8 }{inputenc}
\PassOptionsToPackage{ abbreviations = false }{siunitx}
\PassOptionsToPackage{ version = 4 }{mhchem}
\PassOptionsToPackage{ x11names, table }{xcolor}
\PassOptionsToPackage{ sfdefault, ultralight }{FiraSans}
\PassOptionsToPackage{ indent }{parskip}
\PassOptionsToPackage{ english, french }{babel}
\PassOptionsToPackage{ autostyle }{csquotes}
\PassOptionsToPackage{ colorlinks }{hyperref}


\usepackage{ geometry }


\usepackage{ fontenc }
\usepackage{ inputenc }
\usepackage{ CJKutf8 }


\usepackage{ letltxmacro }

\newcommand*{\Let}{\LetLtxMacro}


\usepackage{ mathtools }
\usepackage{ MnSymbol }

\everymath{ \displaystyle }

\makeatletter
\Let\old@sp\sp
\Let\old@sb\sb
\renewcommand{\sp}[1]{\ifmmode\old@sp{ \fam=-1 #1 }\else\textsuperscript{#1}\fi}
\renewcommand{\sb}[1]{\ifmmode\old@sb{ \fam=-1 #1 }\else\textsubscript{#1}\fi}
\makeatother

\Let\Llap\mathllap
\Let\Clap\mathclap
\Let\Rlap\mathrlap

\makeatletter
\def\@BracContents{} % default
\newcommand{\@BracKern}{\kern-\nulldelimiterspace}
\newcommand{\Brac}[3]{% #1,#3 = left/right bracket type
  \begingroup\def\@BracContents{#2}
  \mathopen{\left#1\vphantom{#2}\@BracKern\right.}% left bracket
  #2%  content
  \mathclose{\left.\@BracKern\vphantom{#2}\right#3}% right bracket
  \endgroup
}

\Let\old@middle\middle
\renewcommand{\middle}[1]{%
  \nonscript\;%
  \ifnum\currentgrouptype=16%
    \old@middle#1%
  \else%
    \@middle#1%
  \fi%
  \nonscript\;%
}
\newcommand{\@middle}[1]{%
  { % open a group
  \Let\middle\@empty % neutralize \mvert inside \@Braccontents
  \left.\@BracKern % fake \left
  \vphantom{\@BracContents} % set size
  \old@middle#1 % bar
  \right.\@BracKern % fake \right
  } % end group
}
\makeatother

% To be completed so that it can be used in IEEEeqnarray
\newcommand{\boxeq}[1]{%
\boxed{ #1 }%
}

\newcommand{\defeq}{\mathrel{ \coloneq }}

\newcommand{\Rbrac}[1]{\Brac({ #1 })}
\newcommand{\Sbrac}[1]{\Brac[{ #1 }]}
\newcommand{\Cbrac}[1]{\Brac\{{ #1 }\}}
\newcommand{\oCbrac}[2]{%
\mathord{ \overbrace{ #1 }\sp{ \Clap{ \text{#2} } } }%
}
\newcommand{\uCbrac}[2]{%
\mathord{ \underbrace{ #1 }\sb{ \Clap{ \text{#2} } } }%
}
\newcommand{\pair}[2]{\Rbrac{ #1, #2 }}

\Let\xtimes\times
\renewcommand{\times}{\mathbin{ \cdot }}
%
\newcommand{\suchthat}{\mathord{ \middle\mvert }}
\Let\given\suchthat
%
\newcommand{\inter}{\mathrel{ \cap }}
\newcommand{\union}{\mathrel{ \cup }}
%
\newcommand{\compl}[1]{%
\mathord{ #1^{ \complement } }%
}

\DeclareMathSymbol{\var}{\mathord}{letters}{`x}
\DeclareMathSymbol{\Rvar}{\mathord}{letters}{`X}
\DeclareMathSymbol{\stdRvar}{\mathord}{letters}{`Z}
\DeclareMathSymbol{\distN}{\mathord}{letters}{`N}
\newcommand{\Ndist}[2]{%
\operatorname{ \distN } \pair{ #1 }{ #2 }%
}
\newcommand{\mean}{\mathord{ \mu }}
\newcommand{\SD}{\mathord{ \sigma }}
%\DeclareMathOperator{\variance}{Var}
\newcommand{\variance}{\SD\sp{ 2 }}
%
\DeclareMathSymbol{\prob}{\mathord}{operators}{`p}
\newcommand{\Prob}[1]{%
\operatorname{ \prob } \Rbrac{ #1 }%
}
\newcommand{\stdProb}[1]{%
\operatorname{ \Phi } \Rbrac{ #1 }%
}


\usepackage{ IEEEtrantools }

\catcode`\* = 11
\Let\eqn\IEEEeqnarray
\Let\endeqn\endIEEEeqnarray
\Let\eqn*\IEEEeqnarray*
\Let\endeqn*\endIEEEeqnarray*
\Let\eqnbox\IEEEeqnarraybox
\Let\endeqnbox\endIEEEeqnarraybox
\Let\eqnbox*\IEEEeqnarraybox*
\Let\endeqnbox*\endIEEEeqnarraybox*
\catcode`\* = 12

\newcommand{\mtxt}[1]{\noalign{\noindent#1}\nonumber\\}


\usepackage{ siunitx }
\usepackage{ mhchem }

%\DeclareSIUnit{\molar}{\mole\per\deci\metre\cubed}
\DeclareSIUnit\molar{M}
\DeclareSIUnit{\litre}{\liter}


\makeatletter
\DeclareFontFamily{T1}{cmtt}{\hyphenchar \font\m@ne}
\DeclareFontShape{T1}{cmtt}{m}{n}{
  <-9>    ectt0800
  <9-10>  ectt0900
  <10-12> ectt1000
  <12-17> ectt1200
  <17->   ectt1728
}{}
\DeclareFontShape{T1}{cmtt}{m}{it}{
  <-9>    ecit0800
  <9-10>  ecit0900
  <10-12> ecit1000
  <12-17> ecit1200
  <17->   ecit1728
}{}
\DeclareFontShape{T1}{cmtt}{m}{sl}{
  <-9>    ecst0800
  <9-10>  ecst0900
  <10-12> ecst1000
  <12-17> ecst1200
  <17->   ecst1728
}{}
\DeclareFontShape{T1}{cmtt}{m}{sc}{
  <-9>    ectc0800
  <9-10>  ectc0900
  <10-12> ectc1000
  <12-17> ectc1200
  <17->   ectc1728
}{}
\DeclareFontShape{T1}{cmtt}{bx}{n}{
  <-> ssub * cmtt/m/n
}{}
\DeclareFontShape{T1}{cmtt}{bx}{it}{
  <-> ssub * cmtt/m/it
}{}
\DeclareFontShape{T1}{cmtt}{bx}{sl}{
  <-> ssub * cmtt/m/sl
}{}
\DeclareFontShape{T1}{cmtt}{bx}{sc}{
  <-> ssub * cmtt/m/sc
}{}
\makeatother


\usepackage{ xcolor }
\usepackage{ scrextend }
\usepackage{ anyfontsize }

\newcommand*{\size}[1]{\KOMAoptions{ fontsize = #1 }}


\usepackage{ enumitem }
\usepackage{ multicol }

\setlist[%
  itemize%
]{ label = {\( \bullet \)} }

\SetEnumitemKey{rCol}{ before* = {\raggedcolumns} }
\SetEnumitemKey{fCol}{ before* = {\flushcolumns} }

\SetEnumitemKey{1Col}{ before* = {}, after* = {} }
\SetEnumitemKey{2Col}{ before* = \begin{multicols}{2}
                     , after* = \end{multicols}
                     }
\SetEnumitemKey{3Col}{ before* = \begin{multicols}{3}
                     , after* = \end{multicols}
                     }
\SetEnumitemKey{4Col}{ before* = \begin{multicols}{4}
                     , after* = \end{multicols}
                     }
\SetEnumitemKey{5Col}{ before* = \begin{multicols}{5}
                     , after* = \end{multicols}
                     }
\SetEnumitemKey{6Col}{ before* = \begin{multicols}{6}
                     , after* = \end{multicols}
                     }
\SetEnumitemKey{7Col}{ before* = \begin{multicols}{7}
                     , after* = \end{multicols}
                     }


\usepackage{ array }
\usepackage{ booktabs }
\usepackage{ multirow }

\newcolumntype{T}{>{\bfseries}{c}}
\newcolumntype{U}{>{\ttfamily}{r}}


\usepackage{ etoc }

\makeatletter
\newcommand*{\Dots@Page}{%
\nobreak\leaders\hbox{%
\bfseries\hbox to .75ex {\hss.\hss}%
}%
\hfill\nobreak\makebox{%
\bfseries\etocpage%
}%
\par%
}

\etocsetstyle{section}{%
\normalsize\rmfamily\bfseries\scshape%
\begin{itemize}[ leftmargin = 0pt
               , label =
               ]%
}{%
\item%
}{%
\etocname%
\Dots@Page%
}{%
\end{itemize}%
}
\makeatother


\usepackage{ lettrine }
\input{ArtNouv.fd}
\input{GotIn.fd}
\input{GoudyIn.fd}
\input{Rothdn.fd}
\input{RoyalIn.fd}
\usepackage[ sfdefault, ultralight ]{ FiraSans }

\makeatletter
\newcommand*{\@initfamily}{GoudyIn}
\newcommand*{\setInit}[1]{\renewcommand*{\@initfamily}{#1}}
\newcommand*{\initfamily}{\usefont{U}{\@initfamily}{xl}{n}}
\makeatother

\renewcommand*{\oldstylenums}[1]{{\firaoldstyle #1}}

\makeatletter
\Let\old@tt\ttfamily
\renewcommand*{\upshape}{\fontshape{\updefault}\selectfont}
\renewcommand*{\ttfamily}{\old@tt\scshape}
\makeatother

\renewcommand*{\LettrineFontHook}{\color{RoyalBlue4}\initfamily}
\setcounter{DefaultLines}{4}


\usepackage{ tikz }

\usetikzlibrary{ calc, arrows.meta, decorations.markings, patterns.meta, bending }


\usepackage{ graphicx }
\usepackage{ wrapfig }


\usepackage{ lipsum }


\usepackage{ parskip }
\usepackage{ comment }
\usepackage{ babel }
\usepackage{ csquotes }
\usepackage{ hyperref }


\makeatletter
\Let\old@emph\emph
\renewcommand{\emph}{\@ifstar\textbf\old@emph}
\makeatother


\makeatletter
\def\@maketitle{%
  \begingroup\size{ 1.3em }%
  \newpage
  \null
  \vskip 2em%
  \begin{center}%
  \let \footnote \thanks
    {\LARGE\bfseries \@title \par}%
    \vskip 1.5em%
    {\normalsize
      \lineskip .5em%
      \begin{tabular}[t]{c}%
        \@author
      \end{tabular}\par}%
    \vskip 1em%
    {\normalsize \@date}%
  \end{center}%
  \par
  \vskip 1.5em%
  \endgroup}
\makeatother


\AtBeginDocument{%
\begin{CJK}{UTF8}{gkai}%
}

\AtEndDocument{%
\clearpage%
\end{CJK}%
}