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% !TEX program = xelatex
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\documentclass[dvipsnames,14pt,t,xelatex,aspectratio=169,xcolor={table}]{beamer}
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\usepackage{../styles/slides}
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\usepackage{../styles/mygraphs}
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\usepackage{../styles/langs}
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%%\usepackage{../data}
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%%\usepackage[export]{adjustbox}
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\usetikzlibrary{shapes,arrows,shadows}
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% Swift, example (a*)*b
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\begin{filecontents}{re-swift.data}
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5 0.001
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10 0.001
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15 0.009
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20 0.178
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23 1.399
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24 2.893
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25 5.671
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26 11.357
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27 22.430
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\end{filecontents}
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% Dart, example (a*)*b
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\begin{filecontents}{re-dart.data}
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20 0.042
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21 0.084
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22 0.190
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23 0.340
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24 0.678
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25 1.369
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26 2.700
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27 5.462
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28 10.908
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29 21.725
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30 43.492
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\end{filecontents}
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\begin{filecontents}{re3a.data}
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1 0.00003
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500001 0.22527
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1000001 0.62752
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1500001 0.88485
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2000001 1.39815
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2500001 1.68619
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3000001 1.94957
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3500001 2.15878
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4000001 2.59918
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4500001 5.90679
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5000001 13.11295
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5500001 19.15376
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6000001 40.16373
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\end{filecontents}
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\begin{filecontents}{re-python2.data}
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1 0.033
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5 0.036
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10 0.034
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15 0.036
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18 0.059
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19 0.084
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20 0.141
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21 0.248
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22 0.485
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23 0.878
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24 1.71
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25 3.40
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26 7.08
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27 14.12
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28 26.69
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\end{filecontents}
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\begin{filecontents}{re-js.data}
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5 0.061
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10 0.061
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15 0.061
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20 0.070
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23 0.131
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25 0.308
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26 0.564
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28 1.994
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30 7.648
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31 15.881
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32 32.190
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\end{filecontents}
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\begin{filecontents}{re-java.data}
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5 0.00298
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10 0.00418
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15 0.00996
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16 0.01710
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17 0.03492
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18 0.03303
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19 0.05084
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20 0.10177
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21 0.19960
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22 0.41159
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23 0.82234
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24 1.70251
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25 3.36112
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26 6.63998
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27 13.35120
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28 29.81185
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\end{filecontents}
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\begin{filecontents}{re-java9.data}
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1000 0.01410
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2000 0.04882
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3000 0.10609
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4000 0.17456
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5000 0.27530
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6000 0.41116
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7000 0.53741
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8000 0.70261
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9000 0.93981
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10000 0.97419
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11000 1.28697
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12000 1.51387
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14000 2.07079
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16000 2.69846
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20000 4.41823
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24000 6.46077
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26000 7.64373
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30000 9.99446
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34000 12.966885
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38000 16.281621
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42000 19.180228
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46000 21.984721
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50000 26.950203
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60000 43.0327746
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\end{filecontents}
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\hfuzz=220pt
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%\setmonofont[Scale=.88]{Consolas}
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%\newfontfamily{\consolas}{Consolas}
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\lstset{language=Scala,
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style=mystyle,
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numbersep=0pt,
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numbers=none,
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xleftmargin=0mm}
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\newcommand{\bl}[1]{\textcolor{blue}{#1}}
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% beamer stuff
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\renewcommand{\slidecaption}{PEP (Scala) 05, King's College London}
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\begin{document}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{%
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\begin{tabular}{@ {}c@ {}}
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\\[5mm]
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\huge PEP Scala (5)
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\end{tabular}}
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\normalsize
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\begin{center}
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\begin{tabular}{ll}
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Email: & christian.urban at kcl.ac.uk\\
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%Office: & N\liningnums{7.07} (North Wing, Bush House)\bigskip\\
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Slides \& Code: & KEATS\bigskip\\
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Office Hour: & Fridays 11:00 -- 12:00\\
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Location: & N7.07 (North Wing, Bush House)\bigskip\\
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Pollev: & \texttt{\alert{https://pollev.com/cfltutoratki576}}\\ \\
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\end{tabular}
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\end{center}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{Housekeeping}
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\mbox{}\medskip
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\begin{minipage}{1.2\textwidth}
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\begin{itemize}
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\item SGTs still ongoing next week
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\item LGT next week online Ask-Me-Anything (will be recorded, TEAMS link will be emailed and published on KEATS)
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\item tests might break over Christmas
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\end{itemize}\bigskip
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\begin{center}
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\raisebox{-9mm}{\includegraphics[scale=0.15]{../pics/thanks.jpeg}} Junhuai Hou \quad Chin Wan
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\end{center}
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\end{minipage}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c]
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\frametitle{Main 3: Regexes}
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\begin{center}
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\mbox{Graphs: regex \alert{\texttt{(a*)*b}} and strings $\underbrace{\;\texttt{a}\ldots \texttt{a}\;}_{n}$}\bigskip
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\small
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\begin{tabular}[t]{@{\hspace{-8mm}}c@{\hspace{-0mm}}c@{}}
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\only<1>{\raisebox{6mm}{\begin{tikzpicture}
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\begin{axis}[
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xlabel={$n$},
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x label style={at={(1.05,0.0)}},
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ylabel={time in secs},
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enlargelimits=false,
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xtick={0,5,...,30},
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xmax=33,
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ymax=35,
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ytick={0,5,...,30},
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scaled ticks=false,
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axis lines=left,
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width=5.5cm,
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height=5cm,
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legend entries={Java 8,Python,JavaScript,Swift,Dart},
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%legend entries={\small{}Python, \small{}Java 8, \small{}JavaScript},
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legend pos=north west,
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legend cell align=left]
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\addplot[blue,mark=*, mark options={fill=white}] table {re-python2.data};
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\addplot[cyan,mark=*, mark options={fill=white}] table {re-java.data};
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\addplot[red,mark=*, mark options={fill=white}] table {re-js.data};
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\addplot[magenta,mark=*, mark options={fill=white}] table {re-swift.data};
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\addplot[brown,mark=*, mark options={fill=white}] table {re-dart.data};
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\end{axis}
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\end{tikzpicture}}}%
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\only<2>{\raisebox{0mm}{\begin{tikzpicture}
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\begin{axis}[
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xlabel={$n$},
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x label style={at={(1.05,0.0)}},
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ylabel={time in secs},
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%y label style={at={(0.06,0.5)}},
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enlargelimits=false,
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%xtick={0,30000,...,60000},
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xmax=65000,
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ymax=35,
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ytick={0,5,...,30},
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scaled ticks=true,
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axis lines=left,
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width=5.5cm,
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height=5cm,
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legend entries={\small{}Java 9},
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legend pos=north west]
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\addplot[cyan,mark=*, mark options={fill=white}] table {re-java9.data};
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\end{axis}
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\end{tikzpicture}}}
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&
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\onslide<1-2>{\begin{tikzpicture}
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\begin{axis}[
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xlabel={$n$},
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x label style={at={(1.05,0.0)}},
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ylabel={time in secs},
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enlargelimits=false,
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ymax=35,
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ytick={0,5,...,30},
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axis lines=left,
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legend entries={You in M3},
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%%scaled ticks=false,
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width=5.5cm,
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height=5cm]
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%%\addplot[green,mark=square*,mark options={fill=white}] table {re2a.data};
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\addplot[magenta,mark=square*,mark options={fill=white}] table {re3a.data};
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\end{axis}
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\end{tikzpicture}}
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\end{tabular}
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\end{center}
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\hfill\small\url{https://vimeo.com/112065252}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%\begin{frame}[c]
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%\frametitle{Marks for Preliminary 8}
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%
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%Raw marks (265 submissions):\bigskip
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%
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%\begin{itemize}
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%\item 4\%: \hspace{4mm}211
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%\item 3\%: \hspace{4mm}11
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%\item 2\%: \hspace{4mm}14
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%\item 1\%: \hspace{4mm}8
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%\item 0\%: \hspace{4mm}21
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%\end{itemize}\bigskip\bigskip
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%
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%\footnotesize
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%(plagiarism/collusion interviews ongoing again!)
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%
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%\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c]
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\frametitle{Plan for Today}
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240
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\begin{itemize}
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451
|
308 |
\item Implicits
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327
|
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\item Polymorphic Types
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310 |
\item Immutable OOP
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311 |
\item Making Fun about Scala
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312 |
\end{itemize}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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451
|
318 |
%\begin{frame}[c,fragile]
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319 |
%\frametitle{How To calcululate 100 Mio Collatz Series?}
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320 |
%
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321 |
%\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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322 |
%(1L to 100_000_000).map(collatz).max
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323 |
%\end{lstlisting}
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324 |
%
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325 |
%\end{frame}
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327
|
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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328 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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329 |
\begin{frame}[c,fragile]
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330 |
\frametitle{Polyorphic Types}
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331 |
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451
|
332 |
%To be avoided:\bigskip\bigskip
|
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327
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333 |
\small
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334 |
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335 |
\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-6mm]
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|
336 |
def length_string_list(lst: List[String]): Int =
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|
337 |
lst match {
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|
338 |
case Nil => 0
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|
339 |
case x::xs => 1 + length_string_list(xs)
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340 |
}
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240
|
341 |
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|
342 |
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|
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def length_int_list(lst: List[Int]): Int =
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|
344 |
lst match {
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|
345 |
case Nil => 0
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|
346 |
case x::xs => 1 + length_int_list(xs)
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347 |
}
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348 |
\end{lstlisting}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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354 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|
355 |
\begin{frame}[c,fragile]
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|
356 |
\frametitle{Polyorphic Types}
|
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|
357 |
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|
358 |
\small
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|
359 |
|
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|
360 |
\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-6mm]
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|
361 |
def length[A](lst: List[A]): Int = lst match {
|
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|
362 |
case Nil => 0
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|
363 |
case x::xs => 1 + length(xs)
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|
364 |
}
|
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|
365 |
|
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|
366 |
length(List("1", "2", "3", "4"))
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|
367 |
length(List(1, 2, 3, 4))
|
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|
368 |
|
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369 |
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|
370 |
def map[A, B](lst: List[A], f: A => B): List[B] =
|
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|
371 |
lst match {
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|
372 |
case Nil => Nil
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|
373 |
case x::xs => f(x)::map(xs, f)
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|
374 |
}
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\end{lstlisting}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c]
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\frametitle{DFAs}
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\begin{center}
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386 |
\begin{tikzpicture}[>=stealth',very thick,auto,
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every state/.style={minimum size=0pt,inner sep=2pt,
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draw=blue!50,very thick,fill=blue!20},]
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239
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\only<1,3->{\node[state,initial] (Q_0) {$\mbox{Q}_0$};}
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\only<2>{\node[state,initial,fill=red] (Q_0) {$\mbox{Q}_0$};}
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\only<1,2,4->{\node[state] (Q_1) [right=of Q_0] {$\mbox{Q}_1$};}
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\only<3>{\node[state,fill=red] (Q_1) [right=of Q_0] {$\mbox{Q}_1$};}
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394 |
\only<-3,5->{\node[state] (Q_2) [below right=of Q_0] {$\mbox{Q}_2$};}
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395 |
\only<4>{\node[state,fill=red] (Q_2) [below right=of Q_0] {$\mbox{Q}_2$};}
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396 |
\only<-4,6->{\node[state] (Q_3) [right=of Q_2] {$\mbox{Q}_3$};}
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\only<5>{\node[state,fill=red] (Q_3) [right=of Q_2] {$\mbox{Q}_3$};}
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\only<-5>{\node[state, accepting] (Q_4) [right=of Q_1] {$\mbox{Q}_4$};}
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\only<6->{\node[state, accepting,fill=red] (Q_4) [right=of Q_1] {$\mbox{Q}_4$};}
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400 |
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\path[->] (Q_0) edge node [above] {\alert{$a$}} (Q_1);
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\path[->] (Q_1) edge node [above] {\alert{$a$}} (Q_4);
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\path[->] (Q_4) edge [loop right] node {\alert{$a, b$}} ();
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\path[->] (Q_3) edge node [right] {\alert{$a$}} (Q_4);
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\path[->] (Q_2) edge node [above] {\alert{$a$}} (Q_3);
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\path[->] (Q_1) edge node [right] {\alert{$b$}} (Q_2);
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\path[->] (Q_0) edge node [above] {\alert{$b$}} (Q_2);
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\path[->] (Q_2) edge [loop left] node {\alert{$b$}} ();
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\path[->] (Q_3) edge [bend left=95, looseness=1.3] node [below] {\alert{$b$}} (Q_0);
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\end{tikzpicture}
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\end{center}
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\begin{textblock}{10}(4,12)
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\LARGE{}\phantom{b}
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\only<-2>{\boldmath\textcolor{gray}{$a$}}\only<3->{\boldmath\alert{$a$}}%
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\only<-3>{\boldmath\textcolor{gray}{$b$}}\only<4->{\boldmath\alert{$b$}}%
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\only<-4>{\boldmath\textcolor{gray}{$a$}}\only<5->{\boldmath\alert{$a$}}%
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\only<-5>{\boldmath\textcolor{gray}{$a$}}\only<6->{\boldmath\alert{$a$}}%
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\only<-6>{\boldmath\textcolor{gray}{$a$}}\only<7->{\boldmath\alert{$a\quad\Rightarrow \textbf{yes}$}}%
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327
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\end{textblock}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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425 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{DFAs}
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239
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327
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A \alert{\bf deterministic finite automaton} (DFA) consists of
|
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|
430 |
5 things:
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239
|
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327
|
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\begin{itemize}
|
|
|
433 |
\item an alphabet \bl{$\varSigma$}
|
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|
434 |
\item a set of states \bl{$\mbox{Qs}$}
|
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|
435 |
\item one of these states is the start state \bl{$\mbox{Q}_0$}
|
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|
436 |
\item some states are accepting states \bl{$F$}, and
|
|
|
437 |
\item there is transition function \bl{$\delta$}\bigskip
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|
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|
439 |
\small
|
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|
440 |
which takes a state and a character as arguments and produces a
|
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|
441 |
new state; this function might not be everywhere defined
|
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|
442 |
\end{itemize}
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|
443 |
|
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|
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\begin{center}
|
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|
445 |
\bl{$A(\varSigma, \mbox{Qs}, \mbox{Q}_0, F, \delta)$}
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\end{center}
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239
|
447 |
|
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448 |
\end{frame}
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327
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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450 |
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|
451 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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452 |
\begin{frame}[c]
|
|
|
453 |
\frametitle{NFAs}
|
|
239
|
454 |
|
|
327
|
455 |
\begin{center}
|
|
|
456 |
\begin{tikzpicture}[>=stealth',very thick, auto,
|
|
|
457 |
every state/.style={minimum size=0pt,inner sep=3pt,
|
|
|
458 |
draw=blue!50,very thick,fill=blue!20},scale=2]
|
|
|
459 |
\node[state,initial] (Q_0) {$\mbox{Q}_0$};
|
|
|
460 |
\node[state] (Q_1) [right=of Q_0] {$\mbox{Q}_1$};
|
|
|
461 |
\node[state, accepting] (Q_2) [right=of Q_1] {$\mbox{Q}_2$};
|
|
|
462 |
\path[->] (Q_0) edge [loop above] node {\alert{$b$}} ();
|
|
|
463 |
\path[<-] (Q_0) edge node [below] {\alert{$b$}} (Q_1);
|
|
|
464 |
\path[->] (Q_0) edge [bend left] node [above] {\alert{$a$}} (Q_1);
|
|
|
465 |
\path[->] (Q_0) edge [bend right=45,looseness=1.3] node [below] {\alert{$a$}} (Q_2);
|
|
|
466 |
\path[->] (Q_1) edge [loop above] node {\alert{$a,b$}} ();
|
|
|
467 |
\path[->] (Q_1) edge node [above] {\alert{$a$}} (Q_2);
|
|
|
468 |
\end{tikzpicture}
|
|
|
469 |
\end{center}
|
|
239
|
470 |
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|
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|
471 |
\end{frame}
|
|
|
472 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
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239
|
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474 |
|
|
|
475 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
476 |
|
|
|
477 |
\begin{frame}[c]
|
|
|
478 |
\frametitle{Where to go on from here?}
|
|
|
479 |
|
|
|
480 |
\begin{itemize}
|
|
451
|
481 |
\item Martin Odersky (EPFL) developed now Scala 3\medskip
|
|
239
|
482 |
|
|
451
|
483 |
\item I use Ammonite by Haoji Li\medskip
|
|
|
484 |
|
|
239
|
485 |
\item Elm (\url{http://elm-lang.org})\ldots web applications with style\medskip
|
|
|
486 |
|
|
|
487 |
\item Haskell, Ocaml, Standard ML, Scheme, \ldots
|
|
|
488 |
\end{itemize}
|
|
|
489 |
\end{frame}
|
|
|
490 |
|
|
|
491 |
|
|
|
492 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
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|
493 |
|
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|
494 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
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|
495 |
\begin{frame}[c,fragile]
|
|
|
496 |
\frametitle{\alert{Questions?}}
|
|
|
497 |
|
|
|
498 |
{\tiny
|
|
|
499 |
\begin{verbatim}
|
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|
500 |
*
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|
501 |
* *
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|
502 |
* *
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503 |
* * * *
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504 |
* *
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505 |
* * * *
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|
506 |
* * * *
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507 |
* * * * * * * *
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508 |
* *
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509 |
* * * *
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|
510 |
* * * *
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|
511 |
* * * * * * * *
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512 |
* * * *
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513 |
* * * * * * * *
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|
514 |
* * * * * * * *
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|
515 |
* * * * * * * * * * * * * * * *
|
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|
516 |
* *
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|
517 |
* * * *
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|
518 |
* * * *
|
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|
519 |
* * * * * * * *
|
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520 |
* * * *
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521 |
* * * * * * * *
|
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|
522 |
* * * * * * * *
|
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|
523 |
* * * * * * * * * * * * * * * *
|
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|
524 |
* * * *
|
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|
525 |
* * * * * * * *
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|
526 |
* * * * * * * *
|
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|
527 |
* * * * * * * * * * * * * * * *
|
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|
528 |
* * * * * * * *
|
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|
529 |
* * * * * * * * * * * * * * * *
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|
530 |
* * * * * * * * * * * * * * * *
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|
531 |
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
|
|
|
532 |
\end{verbatim}}
|
|
|
533 |
|
|
|
534 |
|
|
|
535 |
\begin{textblock}{6}(8.5,3.5)
|
|
|
536 |
\begin{bubble}[5cm]
|
|
|
537 |
\footnotesize
|
|
|
538 |
\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
|
|
|
539 |
++++++++[>+>++++<<-]>++>>
|
|
|
540 |
+<[-[>>+<<-]+>>]>+[-<<<[-
|
|
|
541 |
>[+[-]+>++>>>-<<]<[<]>>++
|
|
|
542 |
++++[<<+++++>>-]+<<++.[-]
|
|
|
543 |
<<]>.>+[>>]>+]
|
|
|
544 |
\end{lstlisting}
|
|
|
545 |
\end{bubble}
|
|
|
546 |
\end{textblock}
|
|
|
547 |
|
|
|
548 |
\end{frame}
|
|
|
549 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
550 |
|
|
328
|
551 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
239
|
552 |
|
|
|
553 |
\end{document}
|
|
|
554 |
|
|
|
555 |
%%% Local Variables:
|
|
|
556 |
%%% mode: latex
|
|
|
557 |
%%% TeX-master: t
|
|
|
558 |
%%% End:
|
|
|
559 |
|