diff -r 3a2fa69ea675 -r 201c2c6d8696 handouts/ho01.tex
--- a/handouts/ho01.tex	Mon Oct 20 00:28:03 2014 +0100
+++ b/handouts/ho01.tex	Tue Oct 28 06:01:00 2014 +0000
@@ -18,22 +18,24 @@
 patterns. For example in programming code we need to identify
 what are the keywords, what are the identifiers etc. A pattern
 for identifiers could be stated as: they start with a letter,
-followed by zero or more letters, numbers and the underscore.
+followed by zero or more letters, numbers and underscores.
 Also often we face the problem that we are given a string (for
 example some user input) and want to know whether it matches a
 particular pattern. In this way we can exclude user input that
 would otherwise have nasty effects on our program (crashing it
-or going into an infinite loop, if not worse). \defn{Regular
-expressions} help with conveniently specifying such patterns.
-The idea behind regular expressions is that they are a simple
-method for describing languages (or sets of strings)\ldots at
-least languages we are interested in in computer science. For
-example there is no convenient regular expression for
-describing the English language short of enumerating all
-English words. But they seem useful for describing for example
-email addresses.\footnote{See ``8 Regular Expressions You
-Should Know'' \url{http://goo.gl/5LoVX7}} Consider the
-following regular expression
+or making it go into an infinite loop, if not worse).
+
+\defn{Regular expressions} help with conveniently specifying
+such patterns. The idea behind regular expressions is that
+they are a simple method for describing languages (or sets of
+strings)\ldots at least languages we are interested in in
+computer science. For example there is no convenient regular
+expression for describing the English language short of
+enumerating all English words. But they seem useful for
+describing for example email addresses.\footnote{See ``8
+Regular Expressions You Should Know''
+\url{http://goo.gl/5LoVX7}} Consider the following regular
+expression
 
 \begin{equation}\label{email}
 \texttt{[a-z0-9\_.-]+ @ [a-z0-9.-]+ . [a-z.]\{2,6\}}
@@ -113,9 +115,9 @@
 the regular expressions in the web-crawlers shown Figures
 \ref{crawler1}, \ref{crawler2} and
 \ref{crawler3}.\footnote{There is an interesting twist in the
-web-scraber where \pcode{re*?} is used instead of \pcode{re*}.} Note,
-however, the regular expression for http-addresses in
-web-pages is meant to be
+web-scraper where \pcode{re*?} is used instead of
+\pcode{re*}.} Note, however, the regular expression for
+http-addresses in web-pages is meant to be
 
 \[
 \pcode{"https?://[^"]*"}
@@ -149,32 +151,25 @@
 regular expression matching in Python and in Ruby.
 
 \begin{center}
-\begin{tikzpicture}[y=.09cm, x=.15cm]
- 	%axis
-	\draw (0,0) -- coordinate (x axis mid) (30,0);
-   \draw (0,0) -- coordinate (y axis mid) (0,30);
-   %ticks
-   \foreach \x in {0,5,...,30}
-     \draw (\x,1pt) -- (\x,-3pt) node[anchor=north] {\x};
-   \foreach \y in {0,5,...,30}
-     \draw (1pt,\y) -- (-3pt,\y) node[anchor=east] {\y}; 
-	%labels      
-	\node[below=0.6cm] at (x axis mid) {number of \texttt{a}s};
-	\node[rotate=90,left=0.9cm] at (y axis mid) {time in secs};
-	%plots
-	\draw[color=blue] plot[mark=*] 
-		file {re-python.data};
-	\draw[color=brown] plot[mark=triangle*] 
-		file {re-ruby.data};	 
-   %legend
-	\begin{scope}[shift={(4,20)}] 
-	\draw[color=blue] (0,0) -- 
-		plot[mark=*] (0.25,0) -- (0.5,0) 
-		node[right]{\small Python};
-	\draw[yshift=-\baselineskip, color=brown] (0,0) -- 
-		plot[mark=triangle*] (0.25,0) -- (0.5,0)
-		node[right]{\small Ruby};
-	\end{scope}	
+\begin{tikzpicture}
+\begin{axis}[xlabel={\pcode{a}s},ylabel={time in secs},
+    enlargelimits=false,
+    xtick={0,5,...,30},
+    xmax=33,
+    ymax=35,
+    ytick={0,5,...,30},
+    scaled ticks=false,
+    axis lines=left,
+    width=7cm,
+    height=5cm, 
+    legend entries={Python,Ruby},  
+    legend pos=north west,
+    legend cell align=left]
+\addplot[blue,mark=*, mark options={fill=white}] 
+  table {re-python.data};
+\addplot[brown,mark=triangle*, mark options={fill=white}] 
+  table {re-ruby.data};  
+\end{axis}
 \end{tikzpicture}
 \end{center}
 
@@ -198,7 +193,7 @@
 instances where the matching engine behaves badly and then
 mount a nice DoS-attack against your application. These
 attacks are already have their own name: 
-\emph{Regular Expression Denial of Servive Attack (ReDoS)}.
+\emph{Regular Expression Denial of Service Attacks (ReDoS)}.
 
 It will be instructive to look behind the ``scenes'' to find
 out why Python and Ruby (and others) behave so badly when
@@ -211,24 +206,20 @@
 up to 12,000 in less than 10(!) seconds, see the graph below:
 
 \begin{center}
-\begin{tikzpicture}[y=.09cm, x=.0006cm]
- 	%axis
-	\draw (0,0) -- coordinate (x axis mid) (12000,0);
-   \draw (0,0) -- coordinate (y axis mid) (0,30);
-   %ticks
-   \foreach \x in {0,2000,...,12000}
-     	\draw (\x,1pt) -- (\x,-3pt) node[anchor=north] {\x};
-   \foreach \y in {0,5,...,30}
-     	\draw (1pt,\y) -- (-3pt,\y) node[anchor=east] {\y}; 
-	%labels      
-	\node[below=0.6cm] at (x axis mid) {number of \texttt{a}s};
-	\node[rotate=90,left=0.9cm] at (y axis mid) {time in secs};
-
-	%plots
-   \draw[color=green] plot[mark=square*, mark options={fill=white} ] 
-		file {re2b.data};
-	\draw[color=black] plot[mark=square*, mark options={fill=white} ] 
-		file {re3.data};	 
+\begin{tikzpicture}
+  \begin{axis}[xlabel={\pcode{a}s},ylabel={time in secs},
+    enlargelimits=false,
+    xtick={0,3000,...,12000},
+    xmax=12500,
+    ymax=35,
+    ytick={0,5,...,30},
+    scaled ticks=false,
+    axis lines=left,
+    width=9cm,
+    height=5cm]
+\addplot[green,mark=square*,mark options={fill=white}] table {re2b.data};
+\addplot[black,mark=square*,mark options={fill=white}] table {re3.data};
+\end{axis}
 \end{tikzpicture}
 \end{center}