From 6b269cdf8cf6580cb95176d8d50645c55933b66d Mon Sep 17 00:00:00 2001 From: Sergiu Ivanov Date: Fri, 12 Apr 2024 14:50:46 +0200 Subject: [PATCH] Say that I will use DDS with T = N. I don't want to mess with negative time and whatever that may imply. --- deal.tex | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/deal.tex b/deal.tex index e589e25..d8bd274 100644 --- a/deal.tex +++ b/deal.tex @@ -551,8 +551,9 @@ the iteration of $F$: $\{F^k(s) \mid k \in \mathbb{N}\}$, where $F^0(s) = s$, $F^1(s) = F(s)$, $F^2(s) = F(F(s))$, etc. While I will give most of the general definitions for abstract -dynamical systems, I will rely on discrete-time dynamical systems -later on in the manuscript, for the following reasons: +dynamical systems, I will rely on discrete-time dynamical systems with +$T = \mathbb{N}$ later on in the manuscript, for the following +reasons: \begin{enumerate} \item discrete time yields simpler formal systems, which can capture a wider range of features before becoming too complex to comprehend,