X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/rairo15.git/blobdiff_plain/753ebfb9b4f7828df9b2f2e38cc9b7076be71d0c..17bd6f6df9a94a46128919486c226ae8b1124740:/main.tex diff --git a/main.tex b/main.tex index 4143e22..efbc870 100644 --- a/main.tex +++ b/main.tex @@ -6,9 +6,26 @@ \usepackage{ifthen} \usepackage{color} \usepackage{algorithm2e} -\usepackage[hyperfirst=true,nogroupskip,nonumberlist,xindy]{glossaries} +\usepackage{epstopdf} +\usepackage[latin1]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[english]{babel} +\usepackage{amsmath,amssymb,latexsym,eufrak,euscript} +\usepackage{pstricks,pst-node,pst-coil} + + +\usepackage{url,tikz} +\usepackage{pgflibrarysnakes} + +\usepackage{multicol} + +\usetikzlibrary{arrows} +\usetikzlibrary{automata} +\usetikzlibrary{snakes} +\usetikzlibrary{shapes} + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Définitions personnelles @@ -28,22 +45,32 @@ } } + + +\newcommand {\tv}[1] {\lVert #1 \rVert_{\rm TV}} +\def \top {1.8} +\def \topt {2.3} +\def \P {\mathbb{P}} +\def \ov {\overline} +\def \ts {\tau_{\rm stop}} + + % \theoremstyle{plain} % \theoremheaderfont{\normalfont\bfseries\sc} % \theorembodyfont{\slshape} % \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.}} @@ -55,7 +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]{''} @@ -91,13 +118,16 @@ may be updated at each iteration. At the theoretical level, we show that \section{Introduction} %\input{intro} -\section{Preliminaries} + \section{\uppercase{Preliminaries}}\label{sec:preliminaries} \input{preliminaries} \section{Proof Of Chaos} + + \section{Stopping Time} +\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).