--- a/slides/slides02.tex	Tue Jul 30 23:44:56 2019 +0100
+++ b/slides/slides02.tex	Wed Sep 25 11:24:34 2019 +0100
@@ -35,7 +35,7 @@
   \begin{center}
   \begin{tabular}{ll}
   Email:  & christian.urban at kcl.ac.uk\\
-  Office: & N\liningnums{7.07} (North Wing, Bush House)\\
+  Office: & N7.07 (North Wing, Bush House)\\
   Slides: & KEATS (also homework is there)
   \end{tabular}
   \end{center}
@@ -45,7 +45,7 @@
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{frame}[t]
-  \frametitle{\Large
+  \frametitle{
     Lets Implement an Efficient\\[-2mm] 
     Regular Expression Matcher}
 
@@ -300,17 +300,17 @@
 \bl{$\Der\,c\,A \dn \{ s \;|\;  c\!::\!s \in A\}$ } 
 \end{center}\bigskip
 
-For \bl{$A = \{\textit{foo}, \textit{bar}, \textit{frak}\}$} then
+For \bl{$A = \{\mathit{foo}, \mathit{bar}, \mathit{frak}\}$} then
 
 \begin{center}
 \bl{\begin{tabular}{l@{\hspace{2mm}}c@{\hspace{2mm}}l}
-$\Der\,f\,A$ & $=$ & $\{\textit{oo}, \textit{rak}\}$\\
-$\Der\,b\,A$ & $=$ &  $\{\textit{ar}\}$\\  
+$\Der\,f\,A$ & $=$ & $\{\mathit{oo}, \mathit{rak}\}$\\
+$\Der\,b\,A$ & $=$ &  $\{\mathit{ar}\}$\\  
 $\Der\,a\,A$ & $=$ & $\{\}$\pause
 \end{tabular}}
 \end{center}
 
-\small
+
 We can extend this definition to strings
 \[
 \bl{\Ders\,s\,A = \{s'\;|\;s\,@\,s' \in A\}}
@@ -324,21 +324,21 @@
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{frame}[c]
-\frametitle{The Specification\\ for Matching}
+\frametitle{The Specification for Matching}
 
 \begin{bubble}[10cm]
 \large
 A regular expression \bl{$r$} matches a string~\bl{$s$} 
 provided
-
 \begin{center}
-\bl{$s \in L(r)$}\\ 
+\bl{$s \in L(r)$} 
 \end{center}
-\end{bubble}\bigskip\bigskip
+\end{bubble}
 
-\ldots and the point of the this lecture is 
-to decide this problem as fast as possible 
-(unlike Python, Ruby, Java etc)
+\bigskip\bigskip
+
+\ldots and the point of the this lecture is to decide this problem as
+fast as possible (unlike Python, Ruby, Java etc)
 
 \end{frame}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
@@ -443,7 +443,7 @@
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{frame}[c]
-\frametitle{Another Homework\\[-2mm] Question}
+\frametitle{Another Homework Question}
 
 \begin{itemize}
 \item How many basic regular expressions are there to match