From 9c9ec65a48d590ae207f03e70da94c4080daefe4 Mon Sep 17 00:00:00 2001 From: "Jip J. Dekker" Date: Fri, 18 May 2018 15:50:23 +1000 Subject: [PATCH] Update headings --- wk11/week11.tex | 9 ++++----- 1 file changed, 4 insertions(+), 5 deletions(-) diff --git a/wk11/week11.tex b/wk11/week11.tex index c18f8f9..eb69514 100644 --- a/wk11/week11.tex +++ b/wk11/week11.tex @@ -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}