--- a/ChengsongTanPhdThesis/Chapters/Introduction.tex	Thu Jun 29 04:17:48 2023 +0100
+++ b/ChengsongTanPhdThesis/Chapters/Introduction.tex	Fri Jul 07 20:03:05 2023 +0100
@@ -204,7 +204,7 @@
 
 %TODO: look up snort rules to use here--give readers idea of what regexes look like
 
-
+\marginpar{rephrasing using "imprecise words"}
 Regular expressions, since their inception in the 1940s, 
 have been subject to extensive study and implementation. 
 Their primary application lies in text processing--finding
@@ -215,12 +215,11 @@
 to recognise email addresses is
 \marginpar{rephrased from "the regex for recognising" to "a simple regex that tries to match email"}
 \begin{center}
-$[a-z0-9.\_]^\backslash+@[a-z0-9.-]^\backslash+\.\{a-z\}\{2,6\}$
+\verb|[a-z0-9._]^+@[a-z0-9.-]^+\.\{a-z\}\{2,6\}|
 %$[a-z0-9._]^+@[a-z0-9.-]^+\.[a-z]{2,6}$.
 \end{center}
 \marginpar{Simplified example, but the distinction between . and escaped . is correct
-and therefore left unchanged.}
-
+and therefore left unchanged. Also verbatim package does not straightforwardly support superscripts so + kept as they are.}
 %Using this, regular expression matchers and lexers are able to extract 
 %the domain names by the use of \verb|[a-zA-Z0-9.-]+|. 
 \marginpar{Rewrote explanation for the expression.}