X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/prng_gpu.git/blobdiff_plain/4bdc449d7d1ab2508a4f72db158e0130f61fe2ef..5ed99022e098863388088d7f23852378a56cdb5b:/prng_gpu.tex?ds=inline diff --git a/prng_gpu.tex b/prng_gpu.tex index 73bc958..792d8ce 100644 --- a/prng_gpu.tex +++ b/prng_gpu.tex @@ -50,7 +50,23 @@ Interet de générer des nombres alea sur GPU Présentation des itérations chaotiques -\section{blabla} + + + +\section{The relativity of disorder} +\label{sec:de la relativité du désordre} + +\subsection{Impact of the topology's finenesse} + +Let us firstly introduce the following notations. + +\begin{notation} +$\mathcal{X}_\tau$ will denote the topological space $\left(\mathcal{X},\tau\right)$, whereas $\mathcal{V}_\tau (x)$ will be the set of all the neighborhoods of $x$ when considering the topology $\tau$ (or simply $\mathcal{V} (x)$, if there is no ambiguity). +\end{notation} + + + +\section{Chaos on the order topology} \subsection{The phase space is an interval of the real line}