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Jip J. Dekker 2018-05-18 15:50:23 +10:00
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@ -22,7 +22,7 @@
% \usepackage{graphicx}
\begin{document}
\title{Week 10 - Comparing Algorithms}
\title{Week 11 - Virtual experiments}
\author{Kelvin Davis \and Jip J. Dekker\and Anthony Silvestere}
\maketitle
@ -47,14 +47,13 @@ f(1,0,0) & = & 1\\
\text{otherwise }f(\_,\_,\_) & = & 0
\end{eqnarray*}
\subsection{Why do different patterns appear with different update
\subsection*{Why do different patterns appear with different update
rules?}\label{why-do-different-patterns-appear-with-different-update-rules}
There are 6 updating schemes:
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\tightlist
\item
Synchronous - updates cells all at once for each time step
\item
@ -76,7 +75,7 @@ The synchronous method updates all the cells at once for each time-step.
As shown this results in a plot that is consistent. The Random
Independent method allows any cell to be updated at any time
\subsection{A common mistake in writing programs to run simulation
\subsection*{A common mistake in writing programs to run simulation
models is to scan through an array updating each cell in turn, based on
the current values of its neighbours. Which of the update schemes
demonstrated corresponds to
@ -93,7 +92,7 @@ which then results in sparse plots due to only two out of the eight
possible rules being active i.e.
\[\dfrac{\sum_{x\in\{0,1\}^3}{f(x)}}{|\{0,1\}^3|} = \dfrac{2}{8}\]
\subsection{Suggest cases where the clock scheme or random asynchronous
\subsection*{Suggest cases where the clock scheme or random asynchronous
updating might bean appropriate way to model a system in the real
world?}\label{suggest-cases-where-the-clock-scheme-or-random-asynchronous-updating-might-bean-appropriate-way-to-model-a-system-in-the-real-world}