--- a/handouts/ho04.tex	Thu Oct 05 14:36:54 2023 +0100
+++ b/handouts/ho04.tex	Fri Oct 13 15:07:37 2023 +0100
@@ -513,7 +513,7 @@
 $r_2$ or $r_{2s}$. Unfortunately, this is still not the right
 value in general because there might be some simplifications
 that happened inside $r_2$ and for which the simplification
-function returned also a rectification function $f_{2s}$. So in
+function also returned  a rectification function $f_{2s}$. So in
 fact we need to apply this one too which gives
 
 \begin{center}
@@ -894,7 +894,7 @@
   been taught this language. Anyway, this language had over 600
   keywords (or what they called \emph{reserved words}). Interestingly
   though this language is still used in 2020: during the height of
-  Corona crisis the State of New Jewrsey in the US was looking for
+  Corona crisis the State of New Jersey in the US was looking for
   COBOL programers who could fix the state's national insurance
   webpage. You were probably paid in gold and diamonds, if you were
   able to program in COBOL. If you fixed their webpage, surely you