\documentclass[handout]{beamer} \usepackage{beamerthemefemto} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsfonts,amsmath,amssymb,stmaryrd,dsfont} \usepackage[french]{babel} \usepackage{algorithm2e} \usepackage{alltt} \usepackage[font=footnotesize]{subfig} %\usepackage[amsmath,thmmarks,thref,framed]{ntheorem} %\theoremstyle{plain} %\theoremsymbol{\ensuremath{\clubsuit}} %\theoremseparator{.} %\theoremprework{\hrulefill} %\theorempostwork{\hrulefill\newline} %\renewtheorem{theorem}[theorem]{Théorème} \newcommand{\inputFrameb}[2]{ \frame{ \frametitle{#1} \begin{small} \input{#2} \end{small} }} \newcommand{\Nats}[0]{\ensuremath{\mathds{N}}} \newcommand{\Z}[0]{\ensuremath{\mathbb{Z}}} \newcommand{\R}[0]{\ensuremath{\mathds{R}}} \newcommand{\Bool}[0]{\ensuremath{\mathds{B}}} \newcommand{\StratSet}[0]{\ensuremath{\mathbb{S}}} \newcommand{\fc}[1]{\ensuremath{\overline{#1}}} %\renewcommand\footnotelayout{\tiny} \let\oldfootnotesize\footnotesize \renewcommand*{\footnotesize}{\oldfootnotesize\scriptsize} \usepackage{graphicx} \DeclareGraphicsExtensions{.jpg, .png , .pdf, .bmp, .pdftex} \title[Traversing a $n$-cube for PRNGs] {Traversing a $n$-cube without Balanced Hamiltonian Cycle \\ to Generate Pseudorandom Numbers} \author[couchot@femto-st.fr]{J.-F. Couchot, P.-C. Heam, C. Guyeux, Q. Wang, and J. M. Bahi} \institute[Institut FEMTO-ST/Guangdong University of Technology]{ FEMTO-ST Institute, University of Franche-Comt\'{e}, France\\ College of Automation, Guangdong University of Technology, China} \date[]{} % ____ _____ ____ _ _ _____ % | _ \| ____| __ )| | | |_ _| % | | | | _| | _ \| | | | | | % | |_| | |___| |_) | |_| | | | % |____/|_____|____/ \___/ |_| % %\newcommand{\Bool}[0]{\ensuremath{\mathds{B}}} \begin{document} \setbeamertemplate{background}{\titrefemto} \begin{frame}[plain] \titlepage \end{frame} \setbeamertemplate{background}{\pagefemto} % \begin{frame}{Outline} \setbeamertemplate{section in toc}[sections numbered] % \tableofcontents % \end{frame} \section{Introduction} \inputFrameb{Pseudo Random Number Generation}{prng} \inputFrameb{Chaotic PRNG}{chaoticprng} \inputFrameb{Problematic}{problematic} \frame{\frametitle{Outline}\tableofcontents[hideallsubsections]} \section{Preliminaries} \frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} \inputFrameb{Boolean Map}{booleanMap} \inputFrameb{Iteration Graph and Markov Matrix}{markov} \inputFrameb{Iteration Graph and Markov Matrix (cont'd)}{markov2} \inputFrameb{Our PRNG}{mx} \section{Generation of DSSC Matrices} \frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} \inputFrameb{A typical CLPFD}{dsscintuition} \inputFrameb{A typical CLPFD (cont'd)}{dsscintuition2} \section{On Removing Hamiltonian Cycles} \frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} \inputFrameb{Theoretical Aspects}{rhctheory} \inputFrameb{Cyclic Balanced Gray Codes}{rhcgraycodes} \inputFrameb{Generation of Balanced Gray Codes}{rhcgraycodesgen} \section{Experiments} \frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} \inputFrameb{Experiments}{expcontext} \section{Conclusion} \frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} \inputFrameb{Conclusion \& Future Work}{conclusion} \inputFrameb{Thanks}{thanks} % \section{Conclusion et perspectives} % \frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} \end{document} % _____ ___ _ _ % | ___|_ _| \ | | % | |_ | || \| | % | _| | || |\ | % |_| |___|_| \_| %