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