Say that I will mostly use discrete dynamical systems.
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deal.tex
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deal.tex
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@ -550,6 +550,19 @@ reaching $s$. If $T = \mathbb{N}$, then the trajectory through $s$ is
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the iteration of $F$: $\{F^k(s) \mid k \in \mathbb{N}\}$, where
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the iteration of $F$: $\{F^k(s) \mid k \in \mathbb{N}\}$, where
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$F^0(s) = s$, $F^1(s) = F(s)$, $F^2(s) = F(F(s))$, etc.
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$F^0(s) = s$, $F^1(s) = F(s)$, $F^2(s) = F(F(s))$, etc.
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While I will give most of the general definitions for abstract
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dynamical systems, I will rely on discrete-time dynamical systems
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later on in the manuscript, for the following reasons:
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\begin{enumerate}
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\item discrete time yields simpler formal systems, which can capture
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a wider range of features before becoming too complex to comprehend,
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\item discrete time is sufficient to represent the majority of
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time-related concepts, e.g., event ordering, situating measurements
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in time, etc.
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\end{enumerate}
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Last but not least, this choice is motivated by my own expertise as
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a computer scientist lying in the field of discrete dynamical systems.
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\printbibliography[heading=subbibliography]
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\printbibliography[heading=subbibliography]
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\end{refsection}
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\end{refsection}
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