\usepackage{ifthen}
\usepackage{color}
\usepackage{algorithm2e}
+\usepackage{epstopdf}
\usepackage[latin1]{inputenc}
% \theoremsymbol{\ensuremath{\diamondsuit}}
% \theoremprework{\bigskip}
% \theoremseparator{.}
-\newtheorem{Def}{\underline{Définition}}
-\newtheorem{Lemma}{\underline{Lemme}}
-\newtheorem{Theo}{\underline{Théorème}}
+\newtheorem{Def}{\underline{Definition}}
+\newtheorem{Lemma}{\underline{Lemma}}
+\newtheorem{Theo}{\underline{Theorem}}
% \theoremheaderfont{\sc}
% \theorembodyfont{\upshape}
% \theoremstyle{nonumberplain}
% \theoremseparator{}
% \theoremsymbol{\rule{1ex}{1ex}}
-\newtheorem{Proof}{Preuve :}
-\newtheorem{xpl}{Exemple illustratif :}
+\newtheorem{Proof}{Proof}
+\newtheorem{xpl}{Running Example}
\newcommand{\vectornorm}[1]{\ensuremath{\left|\left|#1\right|\right|_2}}
%\newcommand{\ie}{\textit{i.e.}}
\newcommand{\Gall}[0]{\ensuremath{\mathcal{G}}}
-\newcommand{\JFC}[1]{\begin{color}{green}\textit{}\end{color}}
+\newcommand{\JFC}[1]{\begin{color}{green}\textit{#1}\end{color}}
\newcommand{\CG}[1]{\begin{color}{blue}\textit{}\end{color}}
\newcommand{\og}[0]{``}
\newcommand{\fg}[1]{''}