pbsheet

git-svn-id: svn://tug.org/texlive/trunk@1178 c570f23f-e606-0410-a88d-b1316a301751

1 files changed, 551 insertions, 0 deletions

diff --git a/Master/texmf-dist/tex/latex/pbsheet/pbsheet.cls b/Master/texmf-dist/tex/latex/pbsheet/pbsheet.cls
new file mode 100644
index 00000000000..653c9b9c610
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pbsheet/pbsheet.cls
@@ -0,0 +1,551 @@
+%%
+%% This is file `pbsheet.cls',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% pbsheet.dtx  (with options: `class')
+%% 
+%% This is a generated file.
+%% 
+%% Copyright (C) 2003, 2004 Djalil CHAFAI
+%% djalil DOT chafai AT laposte DOT net
+%% http;//www.lsp.ups-tlse.fr/Chafai/pbsheet.html
+%% 
+%% This file may be distributed and/or modified under the conditions of
+%% the LaTeX Project Public License, either version 1.2 of this license
+%% or (at your option) any later version.  The latest version of this
+%% license is in:
+%% 
+%%    http://www.latex-project.org/lppl.txt
+%% 
+%% and version 1.2 or later is part of all distributions of LaTeX version
+%% 1999/12/01 or later.
+%% 
+\NeedsTeXFormat{LaTeX2e}[1999/12/01]
+\ProvidesClass{pbsheet}
+    [2004/02/14 v0.1 .dtx pbsheet file]
+\ClassInfo{pbsheet}{Copyright (c) Djalil CHAFAI, 2003, 2004.}
+\ClassInfo{pbsheet}{http://www.lsp.ups-tlse.fr/Chafai/}
+\ClassInfo{pbsheet}{chafai AT math DOT ups-tlse DOT fr}
+%%
+\LoadClassWithOptions{article} \ProcessOptions\relax
+%%
+\ifx\pdfoutput\undefined
+ \usepackage[latin1]{inputenc}
+ \usepackage[T1]{fontenc}
+ \usepackage{url}
+ \usepackage[dvips]{graphicx}
+ \newcommand{\phantomsection}{\null} %% provided by hyperref.
+\else
+ \pdfoutput=1\pdfcompresslevel=9\pdfadjustspacing=1
+ \usepackage[pdftex,bookmarks,a4paper,colorlinks]{hyperref}
+ \usepackage{aeguill}
+ \usepackage[pdftex]{graphicx}
+ \hypersetup{bookmarksnumbered,plainpages=false,hypertexnames=false}
+ \hypersetup{pagecolor=blue,linkcolor=blue,citecolor=blue,urlcolor=blue}
+ \hypersetup{pdfcreator=PDFLaTeX with pbsheet class}
+\fi
+\RequirePackage{amsmath,amsfonts,amssymb,amsthm,latexsym}
+\RequirePackage[a4paper,portrait]{geometry}
+\RequirePackage{rotating}
+\RequirePackage{moreverb}
+\RequirePackage[latin1]{inputenc}
+\RequirePackage{xspace}
+\RequirePackage[francais]{babel}
+\RequirePackage{color}
+\RequirePackage{listings}
+\ifx\pdfoutput\undefined
+\else %% listings/hyperref compatibility.
+ \makeatletter
+ \providecommand*{\toclevel@lstlisting}{0}
+ \makeatother
+\fi
+%%%%
+%%%% Macros et Environments
+%%%%
+%%
+\newcommand{\MFILE}[1]{
+  \begin{lstinputlisting}[language=Matlab]{#1.m}%
+   \label{code:#1}%
+  \end{lstinputlisting}
+}
+%%
+\newcommand{\SCEFILE}[1]{
+  \begin{lstinputlisting}[language=Scilab]{#1.sce}%
+   \label{code:#1}%
+  \end{lstinputlisting}
+}
+%%
+\newcommand{\SCIFILE}[1]{
+  \begin{lstinputlisting}[language=Scilab]{#1.sci}%
+   \label{code:#1}%
+  \end{lstinputlisting}
+}
+%%
+\newcommand{\FFIG}[5]{%%  fname cm scale floatparams caption
+%% here, floatparams is in the set {vflt,rflt,lflt}, cf. floatflt doc.
+  \begin{floatingfigure}[#4]{#2}%
+    \begin{center}%
+      \includegraphics[scale=#3]{#1}%
+      \caption{#5}%
+      \label{fi:#1}%
+    \end{center}%
+ \end{floatingfigure}%
+}
+%%
+\newcommand{\FIG}[4]{%% fname scale floatparams caption
+ \begin{figure}[#3]%
+  \begin{center}%
+  \includegraphics[scale=#2]{#1}%
+  \caption{{#4}}%
+  \label{fi:#1}%
+  \end{center}%
+ \end{figure}
+}
+%%
+\makeatletter%
+\newcommand{\@TITRE}{Feuille de Travaux Pratiques}
+\newcommand{\@AUTEUR}{Anonyme}
+\newcommand{\@DATE}{\today}
+\newcommand{\@FORMATION}{Agr\'egation de math\'ematiques%
+  -- Oral de mod\'elisation stochastique}
+\newcommand{\@ANNEE}{Ann\'ee}
+\newcommand{\@ETABLISSEMENT}{\'Etablissement}
+\newcommand{\@WEB}{http://www.lsp.ups-tlse.fr/Chafai/agregteam.html}
+\newcommand{\@MEL}{anonyme@pas.net}
+\newcommand{\TITRE}[1]{%
+  \renewcommand{\@TITRE}{#1}}
+\newcommand{\AUTEUR}[1]{%
+  \renewcommand{\@AUTEUR}{#1}}
+\newcommand{\DATE}[1]{%
+  \renewcommand{\@DATE}{#1}}
+\newcommand{\FORMATION}[1]{%
+  \renewcommand{\@FORMATION}{#1}}
+\newcommand{\ANNEE}[1]{%
+  \renewcommand{\@ANNEE}{#1}}
+\newcommand{\ETABLISSEMENT}[1]{%
+  \renewcommand{\@ETABLISSEMENT}{#1}}
+\newcommand{\WEB}[1]{%
+  \renewcommand{\@WEB}{#1}}
+\newcommand{\MEL}[1]{%
+  \renewcommand{\@MEL}{#1}}
+\makeatother
+%%
+\makeatletter
+\newcommand{\PREMIEREPAGE}{%
+  \newpage\null%
+  \begin{center}%
+    \hrule height .2pt%
+    \medskip{\Large\bfseries\@TITRE\par}\medskip%
+    \hrule height .2pt%
+  \end{center}%
+  \bigskip%\vfil%
+}
+\makeatother
+%%
+\theoremstyle{plain}%
+\newtheorem{thm}{Theor\`eme}[section]%
+\newtheorem{cor}[thm]{Corollaire}%
+\newtheorem{prop}[thm]{Proposition}%
+\newtheorem{lem}[thm]{Lemme}%
+\theoremstyle{definition}%
+\newtheorem{defi}[thm]{D\'efinition}%
+\newtheorem{xpl}[thm]{Exemple}%
+\newtheorem{exo}[thm]{Exercice}%
+\newtheorem{hyp}[thm]{Hypoth\`ese}%
+\newtheorem{eur}[thm]{Heuristique}%
+\newtheorem{pro}[thm]{Probl\`eme}%
+\theoremstyle{remark}%
+\newtheorem{rem}[thm]{Remarque}%
+%%%%
+%%%% Commands to be executed before \begin{document}
+%%%%
+%%
+\geometry{left=2.5cm,right=2.5cm}
+%%
+\lstset{extendedchars=true,%
+        basicstyle=\small,%
+        commentstyle=\ttfamily\color[rgb]{0,0,0.5},%
+        stringstyle=\color[rgb]{0,0.5,0},%
+        frame=tblr,frameround=tttt,%
+        %%labelstyle=\tiny,labelstep=1,labelsep=10pt
+}
+%%
+\makeatletter
+\renewcommand{\@evenfoot}
+{\tiny\normalfont
+  \@DATE. Copyright ^^a9 \@AUTEUR\ \@MEL. GNU FDL Copyleft.
+%%  \url{http://www.gnu.org/copyleft/fdl.html}.
+  \hfil \upshape Page n^^b0{\thepage}.}
+\renewcommand{\@evenhead}
+{\tiny\scshape \@ETABLISSEMENT\ -- \@FORMATION\ --
+  \normalfont\bfseries\@ANNEE.
+  \normalfont\hfil \upshape Page n^^b0{\thepage}.}
+\renewcommand{\@oddfoot}{\@evenfoot}
+\renewcommand{\@oddhead}{\@evenhead}
+\makeatother
+%% smaller sections titles
+\makeatletter
+\renewcommand{\section}{\@startsection%
+  {section}%                           % name
+  {1}%                                 % level
+  {0em}%                               % indent
+  {\baselineskip}%                     % beforeskip
+  {0.5\baselineskip}%                  % afterskip
+  {\normalfont\large\bfseries}}%       % style
+\renewcommand{\subsection}{\@startsection%
+  {subsection}%                        % name
+  {2}%                                 % level
+  {0em}%                               % indent
+  {\baselineskip}%                     % beforeskip
+  {0.25\baselineskip}%                 % afterskip
+  {\normalfont\bfseries}%              % style
+}
+\makeatother
+%%
+%% Macros
+%%
+\newcommand{\DOIFPDF}[2]{\ifx\pdfoutput\undefined #2\else#1\fi}
+%% For nice typesetting of the actual engine name.
+\newcommand{\EngineName}{\DOIFPDF{\texttt{pdf}\LaTeX}{\LaTeXe}}
+%% For short rough notes and warnings.
+\newcommand{\NB}[1]{{\large\textbf{*** #1 ***}}}
+%% To force maths mode.
+\newcommand{\EM}{\ensuremath}
+%%% Limits
+\newcommand{\limLeb}[2]
+ {\underset{#1\to+\infty}{\overset{\bL^{#2}}{\longrightarrow}}}
+\newcommand{\limE}[1]
+ {\underset{#1\to+\infty}{\overset{\text{^^e9tr.}}{\longrightarrow}}}
+\newcommand{\limW}[1]
+ {\underset{#1\to+\infty}{\overset{\text{weak}}{\longrightarrow}}}
+\newcommand{\limP}[1]
+ {\underset{#1\to+\infty}{\overset{\dP}{\longrightarrow}}}
+\newcommand{\limL}[1]
+ {\underset{#1\to+\infty}{\overset{\cL}{\longrightarrow}}}
+\newcommand{\limn}[1]
+ {\underset{#1\to+\infty}{\longrightarrow}}
+\newcommand{\mylim}[2]
+ {\underset{#1\to#2}{\longrightarrow}}
+\newcommand{\limPS}[1]
+ {\underset{#1\to+\infty}{\overset{\text{p.s.}}{\longrightarrow}}}
+\newcommand{\limAS}[1]
+ {\underset{#1\to+\infty}{\overset{\text{a.s.}}{\longrightarrow}}}
+%% Time
+\makeatletter
+\providecommand{\timenow}{\@tempcnta\time%
+\@tempcntb\@tempcnta%
+\divide\@tempcntb60%
+\ifnum10>\@tempcntb0\fi\number\@tempcntb%
+\multiply\@tempcntb60%
+\advance\@tempcnta-\@tempcntb%
+:\ifnum10>\@tempcnta0\fi\number\@tempcnta}
+\makeatother
+%% Mathmode double capital letters.
+\newcommand{\dA}{\EM{\mathbb{A}}}
+\newcommand{\dB}{\EM{\mathbb{B}}}
+\newcommand{\dC}{\EM{\mathbb{C}}}
+\newcommand{\dD}{\EM{\mathbb{D}}}
+\newcommand{\dE}{\EM{\mathbb{E}}}
+\newcommand{\dF}{\EM{\mathbb{F}}}
+\newcommand{\dG}{\EM{\mathbb{G}}}
+\newcommand{\dH}{\EM{\mathbb{H}}}
+\newcommand{\dI}{\EM{\mathbb{I}}}
+\newcommand{\dJ}{\EM{\mathbb{J}}}
+\newcommand{\dK}{\EM{\mathbb{K}}}
+\newcommand{\dL}{\EM{\mathbb{L}}}
+\newcommand{\dM}{\EM{\mathbb{M}}}
+\newcommand{\dN}{\EM{\mathbb{N}}}
+\newcommand{\dO}{\EM{\mathbb{O}}}
+\newcommand{\dP}{\EM{\mathbb{P}}}
+\newcommand{\dQ}{\EM{\mathbb{Q}}}
+\newcommand{\dR}{\EM{\mathbb{R}}}
+\newcommand{\dS}{\EM{\mathbb{S}}}
+\newcommand{\dT}{\EM{\mathbb{T}}}
+\newcommand{\dU}{\EM{\mathbb{U}}}
+\newcommand{\dV}{\EM{\mathbb{V}}}
+\newcommand{\dW}{\EM{\mathbb{W}}}
+\newcommand{\dX}{\EM{\mathbb{X}}}
+\newcommand{\dY}{\EM{\mathbb{Y}}}
+\newcommand{\dZ}{\EM{\mathbb{Z}}}
+%% Mathmode Roman capital letters.
+\newcommand{\rA}{\EM{\mathrm{A}}}
+\newcommand{\rB}{\EM{\mathrm{B}}}
+\newcommand{\rC}{\EM{\mathrm{C}}}
+\newcommand{\rD}{\EM{\mathrm{D}}}
+\newcommand{\rE}{\EM{\mathrm{E}}}
+\newcommand{\rF}{\EM{\mathrm{F}}}
+\newcommand{\rG}{\EM{\mathrm{G}}}
+\newcommand{\rH}{\EM{\mathrm{H}}}
+\newcommand{\rI}{\EM{\mathrm{I}}}
+\newcommand{\rJ}{\EM{\mathrm{J}}}
+\newcommand{\rK}{\EM{\mathrm{K}}}
+\newcommand{\rL}{\EM{\mathrm{L}}}
+\newcommand{\rM}{\EM{\mathrm{M}}}
+\newcommand{\rN}{\EM{\mathrm{N}}}
+\newcommand{\rO}{\EM{\mathrm{O}}}
+\newcommand{\rP}{\EM{\mathrm{P}}}
+\newcommand{\rQ}{\EM{\mathrm{Q}}}
+\newcommand{\rR}{\EM{\mathrm{R}}}
+\newcommand{\rS}{\EM{\mathrm{S}}}
+\newcommand{\rT}{\EM{\mathrm{T}}}
+\newcommand{\rU}{\EM{\mathrm{U}}}
+\newcommand{\rV}{\EM{\mathrm{V}}}
+\newcommand{\rW}{\EM{\mathrm{W}}}
+\newcommand{\rX}{\EM{\mathrm{X}}}
+\newcommand{\rY}{\EM{\mathrm{Y}}}
+\newcommand{\rZ}{\EM{\mathrm{Z}}}
+%% Mathmode calligraphic capital letters.
+\newcommand{\cA}{\EM{\mathcal{A}}}
+\newcommand{\cB}{\EM{\mathcal{B}}}
+\newcommand{\cC}{\EM{\mathcal{C}}}
+\newcommand{\cD}{\EM{\mathcal{D}}}
+\newcommand{\cE}{\EM{\mathcal{E}}}
+\newcommand{\cF}{\EM{\mathcal{F}}}
+\newcommand{\cG}{\EM{\mathcal{G}}}
+\newcommand{\cH}{\EM{\mathcal{H}}}
+\newcommand{\cI}{\EM{\mathcal{I}}}
+\newcommand{\cJ}{\EM{\mathcal{J}}}
+\newcommand{\cK}{\EM{\mathcal{K}}}
+\newcommand{\cL}{\EM{\mathcal{L}}}
+\newcommand{\cM}{\EM{\mathcal{M}}}
+\newcommand{\cN}{\EM{\mathcal{N}}}
+\newcommand{\cO}{\EM{\mathcal{O}}}
+\newcommand{\cP}{\EM{\mathcal{P}}}
+\newcommand{\cQ}{\EM{\mathcal{Q}}}
+\newcommand{\cR}{\EM{\mathcal{R}}}
+\newcommand{\cS}{\EM{\mathcal{S}}}
+\newcommand{\cT}{\EM{\mathcal{T}}}
+\newcommand{\cU}{\EM{\mathcal{U}}}
+\newcommand{\cV}{\EM{\mathcal{V}}}
+\newcommand{\cW}{\EM{\mathcal{W}}}
+\newcommand{\cX}{\EM{\mathcal{X}}}
+\newcommand{\cY}{\EM{\mathcal{Y}}}
+\newcommand{\cZ}{\EM{\mathcal{Z}}}
+%% Mathmode bold capital letters.
+\newcommand{\bA}{\EM{\mathbf{A}}}
+\newcommand{\bB}{\EM{\mathbf{B}}}
+\newcommand{\bC}{\EM{\mathbf{C}}}
+\newcommand{\bD}{\EM{\mathbf{D}}}
+\newcommand{\bE}{\EM{\mathbf{E}}}
+\newcommand{\bF}{\EM{\mathbf{F}}}
+\newcommand{\bG}{\EM{\mathbf{G}}}
+\newcommand{\bH}{\EM{\mathbf{H}}}
+\newcommand{\bI}{\EM{\mathbf{I}}}
+\newcommand{\bJ}{\EM{\mathbf{J}}}
+\newcommand{\bK}{\EM{\mathbf{K}}}
+\newcommand{\bL}{\EM{\mathbf{L}}}
+\newcommand{\bM}{\EM{\mathbf{M}}}
+\newcommand{\bN}{\EM{\mathbf{N}}}
+\newcommand{\bO}{\EM{\mathbf{O}}}
+\newcommand{\bP}{\EM{\mathbf{P}}}
+\newcommand{\bQ}{\EM{\mathbf{Q}}}
+\newcommand{\bR}{\EM{\mathbf{R}}}
+\newcommand{\bS}{\EM{\mathbf{S}}}
+\newcommand{\bT}{\EM{\mathbf{T}}}
+\newcommand{\bU}{\EM{\mathbf{U}}}
+\newcommand{\bV}{\EM{\mathbf{V}}}
+\newcommand{\bW}{\EM{\mathbf{W}}}
+\newcommand{\bX}{\EM{\mathbf{X}}}
+\newcommand{\bY}{\EM{\mathbf{Y}}}
+\newcommand{\bZ}{\EM{\mathbf{Z}}}
+%% Useful shortcuts to some Greek letters and symbols.
+\newcommand{\al}{\alpha}
+\newcommand{\be}{\beta}
+\newcommand{\De}{\Delta}
+\newcommand{\de}{\delta}
+\newcommand{\ga}{\gamma}
+\newcommand{\Ga}{\Gamma}
+\newcommand{\g}{\gamma}
+\newcommand{\gn}{\g_n}
+\newcommand{\gt}[1]{\g^{\otimes #1}}
+\newcommand{\la}{\lambda}
+\newcommand{\La}{\Lambda}
+\newcommand{\lan}{\la_n}
+\newcommand{\na}{\nabla}
+\newcommand{\Om}{\Omega}
+\newcommand{\om}{\omega}
+\newcommand{\ph}{\Phi}
+\newcommand{\Si}{\Sigma}
+\newcommand{\si}{\sigma}
+\newcommand{\Te}{\Theta}
+\newcommand{\te}{\theta}
+\newcommand{\ta}{\tau}
+\newcommand{\Ups}{\Upsilon}
+\newcommand{\veps}{\varepsilon}
+\newcommand{\vphi}{\varphi}
+\newcommand{\bul}{\EM{\bullet}}
+%% Functional prototype with dimensioning.
+\newcommand{\p}[4]{{#3}\!\left#1{#4}\right#2}
+%% Norms and related.
+\newcommand{\ABS}[1]{\EM{{\left| #1 \right|}}} % |1|
+\newcommand{\BRA}[1]{\EM{{\left\{#1\right\}}}} % {1}
+\newcommand{\DP}[1]{\EM{{\left<#1\right>}}} % <1>
+\newcommand{\NRM}[1]{\EM{{\left\| #1\right\|}}} % ||1||
+\newcommand{\NI}[1]{\EM{{\left\| #1\right\|}_\infty}} % infinite norm.
+\newcommand{\OSC}[1]{\EM{{\p(){\mathrm{osc}}{#1}}}} % oscillation.
+\newcommand{\PAR}[1]{\EM{{\left(#1\right)}}} % (1)
+\newcommand{\BPAR}[1]{\EM{{\biggl(#1\biggr)}}} % (1)
+\newcommand{\BABS}[1]{\EM{{\biggl|#1\biggr|}}} % (1)
+\newcommand{\pd}{\EM{\partial}} % derivee partielle
+\newcommand{\PD}[2]{\EM{{\frac{\partial #1}{\partial #2}}}}%part. deriv.
+\newcommand{\SBRA}[1]{\EM{{\left[#1\right]}}} % [1]
+\newcommand{\VT}[1]{\EM{{\|#1\|}_{\text{\scriptsize VT}}}} % tot. var.
+\newcommand{\LIP}[1]{\EM{\|#1\|_{\mathrm{Lip}}}} % Lipschitz norm.
+\newcommand{\WH}[1]{\widehat{#1}}
+%% Fonctionals and functions.
+\newcommand{\sentf}{\bH}
+\newcommand{\sent}[1]{\p(){\sentf}{#1}}
+\newcommand{\bentf}[1]{\bH_{#1}}
+\newcommand{\bent}[2]{\p(){\bentf{#1}}{#2}}
+\newcommand{\eentf}{\bN}
+\newcommand{\eent}[1]{\p(){\eentf}{#1}}
+\newcommand{\entf}[1]{\mathbf{Ent}_{#1}}
+\newcommand{\ent}[2]{\p(){\entf{#1}}{#2}}
+\newcommand{\ientf}[1]{\bH^{#1}}
+\newcommand{\ient}[2]{\p(){\ientf{#1}}{#2}}
+\newcommand{\rentf}{\mathbf{Ent}}
+\newcommand{\rent}[2]{\p(){\rentf}{#1\,\vert\,#2}}
+\newcommand{\entr}{\mathbf{Ent}_r}
+\newcommand{\enef}[1]{\boldsymbol{\mathcal{E}}_{#1}}
+\newcommand{\ene}[2]{\p(){\enef{#1}}{#2}}
+\newcommand{\imutf}{\bI}
+\newcommand{\imut}[1]{\p(){\imutf}{#1}}
+\newcommand{\fcrf}{\dI}
+\newcommand{\fcr}[1]{\p(){\fcrf}{#1}}
+\newcommand{\fishf}{\bJ}
+\newcommand{\fish}[1]{\p(){\fishf}{#1}}
+\newcommand{\fishmf}{\dJ}
+\newcommand{\fishm}[1]{\p(){\fishmf}{#1}}
+\newcommand{\moyf}[1]{\bE_{#1}}
+\newcommand{\moy}[2]{\p(){\moyf{#1}}{#2}}
+\newcommand{\econd}[2]{\p(){\moyf{}}{#1\,\vert\,#2}}
+\newcommand{\bmoy}[2]{\moyf{#1}\!\biggl(#2\biggr)}
+\newcommand{\corrf}[1]{\mathbf{Cor}_{#1}}
+\newcommand{\corr}[3]{\p(){\corrf{#1}}{#2,#3}}
+\newcommand{\covf}[1]{\mathbf{Cov}_{#1}}
+\newcommand{\cov}[3]{\p(){\covf{#1}}{#2,#3}}
+\newcommand{\bcov}[3]{\covf{#1}\!\biggl(#2,#3\biggr)}
+\newcommand{\suppf}{\mathrm{supp}}
+\newcommand{\supp}[1]{\suppf\PAR{#1}}
+\newcommand{\DIMF}{\mathrm{dim}}
+\newcommand{\DIM}[1]{\DIMF\PAR{#1}}
+\newcommand{\RANGEF}{\mathrm{range}}
+\newcommand{\RANGE}[1]{\RANGEF\PAR{#1}}
+\newcommand{\varf}[1]{\mathbf{Var}_{#1}}
+\newcommand{\var}[2]{\p(){\varf{#1}}{#2}}
+\newcommand{\bvar}[2]{\varf{#1}\!\biggl(#2\biggr)}
+\newcommand{\Kf}{\bK}
+\newcommand{\K}[1]{\p(){\Kf}{#1}}
+\newcommand{\vrs}[1]{\mathbf{L}_{#1}}
+\newcommand{\lik}[1]{\vrs{#1}}
+%% Sets, spaces, and functional spaces.
+\newcommand{\C}[1]{\p(){\cC}{#1}}
+\newcommand{\Cb}[1]{\p(){\cC_b}{#1}}
+\newcommand{\Cc}[1]{\p(){\cC_c}{#1}}
+\newcommand{\Cn}[2]{\p(){\cC^{#1}}{#2}}
+\newcommand{\Ci}[1]{\Cn{\infty}{#1}}
+\newcommand{\Cic}[1]{\p(){\cC_c^\infty}{#1}}
+\newcommand{\Cnc}[2]{\p(){\cC_c^{#1}}{#2}}
+\newcommand{\Cnb}[2]{\p(){\cC_b^{#1}}{#2}}
+\newcommand{\Cib}[1]{\p(){\cC_b^\infty}{#1}}
+\newcommand{\leb}[2]{\p(){\bL^{#1}}{#2}}
+\newcommand{\lebb}[1]{\bL^{#1}}
+%% Determinant, trace, ...
+\newcommand{\Tr}{\mathrm{Tr\,}}
+\newcommand{\Det}[1]{\mathrm{Det}\,}
+\newcommand{\TR}[1]{\p(){\mathrm{Tr}}{#1}}
+\newcommand{\DIAG}[1]{\p(){\mathrm{Diag}}{#1}}
+\newcommand{\DET}[1]{\p(){\mathrm{Det}}{#1}}
+\newcommand{\SIG}[1]{\p(){\mathrm{Sign}}{#1}}
+\newcommand{\KER}[1]{\p(){\mathrm{Ker}}{#1}}
+\newcommand{\RG}[1]{\p(){\mathrm{Range}}{#1}}
+\newcommand{\DIAM}[1]{\p(){\mathrm{Diam}}{#1}}
+\newcommand{\ID}{\mathbf{Id}}
+\newcommand{\Id}{\mathrm{Id}}
+\newcommand{\Mo}{\mathbf{1}}
+\newcommand{\Vo}{\mathrm{1}}
+%%% Semi-groups, generators, carre-du-champ, ...
+\newcommand{\CD}{CD(\rho ,\infty)}
+\newcommand{\GA}{\boldsymbol{\Gamma}}
+\newcommand{\GD}{\GA_{\!\!{\mathbf 2}}}
+\newcommand{\GI}{\bL}
+\newcommand{\GR}{\nabla}
+\newcommand{\GIV}{\EM{\overrightarrow{\GI}}}
+\newcommand{\GIB}{\EM{\overline{\GI}}}
+\newcommand{\LA}{\boldsymbol{\Delta}}
+\newcommand{\ROT}{\mathbf{rot}\,}
+\newcommand{\DIV}{\mathbf{div}\,}
+\newcommand{\PT}[1][t]{\mathbf{P}_{\!#1}}
+\newcommand{\SGf}[1]{{\mathbf P}_{#1}}
+\newcommand{\SG}[2]{\p(){\SGf{\!#1}}{#2}}
+\newcommand{\SGQf}[1]{{\mathbf Q}_{#1}}
+\newcommand{\SGQ}[2]{\p(){\SGQf{#1}}{#2}}
+\newcommand{\isopf}{\mathbf{I}}
+\newcommand{\isop}[1]{\p(){\isopf}{#1}}
+\newcommand{\disop}[1]{\p(){\isopf'}{#1}}
+\newcommand{\ddisop}[1]{\p(){\isopf''}{#1}}
+\newcommand{\HESS}[1]{\GR^2\!{#1}}
+\newcommand{\Hess}[1]{{\p(){\mathrm{Hess}}{#1}}}
+\newcommand{\HAM}{\bH}
+\newcommand{\POT}{\bV}
+\newcommand{\PF}{\bZ}
+\newcommand{\DOM}{\EM{\cD_2(\GI)}}
+\newcommand{\laV}{\EM{\overrightarrow{\la}}}
+\newcommand{\DOML}{\EM{\cD_2\PAR{\GI}}}
+\newcommand{\DOMB}{\EM{\cD_2(\GIB)}}
+\newcommand{\DOMV}{\EM{\cD_2(\GIV)}}
+\newcommand{\GAV}{\EM{\overrightarrow{\GA}}}
+\newcommand{\D}{\mathbf{D}}
+%% Topology.
+\newcommand{\inter}[1]{{\overset{\circ}{#1}}} % interior
+\newcommand{\adher}[1]{{\overline{#1}}} % adherence
+\newcommand{\ADH}[1]{\mathbf{adh}(#1)}
+\newcommand{\INT}[1]{\mathbf{int}(#1)}
+%% Miscellany.
+\newcommand{\DOTIMES}{\otimes\cdots\otimes}
+\newcommand{\DOPLUS}{\oplus\cdots\oplus}
+\newcommand{\CARD}{\mathrm{card}}
+\newcommand{\SSK}[1]{\substack{#1}}
+\renewcommand{\leq}{\leqslant}
+\renewcommand{\geq}{\geqslant}
+\newcommand{\bs}{\EM{\backslash}}
+\newcommand{\Inf}{\boldsymbol{\inf}}
+\newcommand{\Sup}{\boldsymbol{\sup}}
+\newcommand{\ds}[1]{\EM{\displaystyle{#1}}}
+\newcommand{\eg}{\overset{\Delta}{=}}
+\newcommand{\fdefeq}{\overset{\text{d^^e9f.}}{=}}
+\newcommand{\edefeq}{\overset{\text{def.}}{=}}
+\newcommand{\defeq}{:=}
+\newcommand{\equ}{\; \Leftrightarrow \;}
+\newcommand{\ex}{\exists \,}
+\newcommand{\imp}{\Rightarrow  \;}
+\newcommand{\ssi}{{\it ssi}}
+\newcommand{\tout}{\forall \,}
+\newcommand{\tq}{\,|\,}
+\newcommand{\st}{\,|\,}
+\newcommand{\DSFRAC}[2]{\EM{\frac{\ds{#1}}{\ds{#2}}}}
+\newcommand{\SR}[2]{\EM{\strackrel{#1}{#2}}}
+\def\Ieme{\up{\lowercase{i^^e8me}}\xspace}
+%% Vectors and matrices.
+\newcommand{\VECTOR}[1]{\PAR{\begin{array}{c} #1 \end{array}}}
+\newcommand{\BIMATRIX}[1]{\PAR{\begin{array}{cc} #1 \end{array}}}
+\newcommand{\Vector}[2]{\PAR{\begin{array}{#1} #2 \end{array}}}
+\newcommand{\Bimatrix}[2]{\PAR{\begin{array}{#1} #2 \end{array}}}
+%%%%
+%%%% Commands to be executed just after \begin{document}
+%%%%
+\AtBeginDocument{%
+ \selectlanguage{francais}%
+ \graphicspath{{images/}{img/}{Images}{Img}{ps}{eps}{PS}{EPS}%
+  {postscript}{postscripts}{pdf}{PDF}}%
+ \PREMIEREPAGE%
+}
+%%%%
+%%%% Commands to be executed just before \end{document}
+%%%%
+\AtEndDocument{\vfill}
+\endinput
+%%
+%% End of file `pbsheet.cls'.