X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/rairo15.git/blobdiff_plain/0fae3701db4e10115f2c561bd25ed8b9754b521f..28e2670bed58d41eddd7820a3c86f9eef9870c33:/main.tex diff --git a/main.tex b/main.tex index 67d9e93..bc8bb20 100644 --- a/main.tex +++ b/main.tex @@ -6,6 +6,7 @@ \usepackage{ifthen} \usepackage{color} \usepackage{algorithm2e} +\usepackage{epstopdf} \usepackage[latin1]{inputenc} @@ -60,16 +61,16 @@ % \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.}} @@ -81,7 +82,7 @@ \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]{''} @@ -125,28 +126,28 @@ may be updated at each iteration. At the theoretical level, we show that -\section{Stopping Time} +\section{Random walk on the modified Hypercube} \input{stopping} % Donner la borne du stopping time quand on marche dedans (nouveau). % Énoncer le problème de la taille de cette borne (elle est certes finie, mais grande). - +\section{Proofs of Chaos in this context} \section{Quality study of the strategy} %6) Se pose alors la question de comment générer une stratégie de "bonne qualité". Par exemple, combien de générateurs aléatoires embarquer ? (nouveau) -\section{Expérimentations} -% +\section{Application to Pseudorandom Number Generation} +\input{prng} \section{Conclusion} %\input{conclusion} %\acknowledgements{...} - +\bibliographystyle{alpha} \bibliography{biblio} \end{document}