From 96c09951e6514d2f63120e3d4eb4bc08abff9cf8 Mon Sep 17 00:00:00 2001
From: "Jiri (George) Lebl" <jiri.lebl@gmail.com>
Date: Sat, 9 Jul 2022 00:43:24 -0500
Subject: [PATCH] Couple of very minor fixes

---
 ca.tex | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/ca.tex b/ca.tex
index 627a7bc..f2a3ea1 100644
--- a/ca.tex
+++ b/ca.tex
@@ -14345,7 +14345,7 @@ \subsection{Mean-value property}
 
 \begin{exercise}
 Suppose $U \subset \C$ is open, $f \colon U \to \R$ is continuous, $p \in U$
-and $f$ is harmonic on $U \setminus \{ p \}$.  Prove that $f$ is in fact
+and $f$ is harmonic on $U \setminus \{ p \}$.  Prove that $f$ is, in fact,
 harmonic on all of $U$.
 \end{exercise}
 
@@ -14604,7 +14604,7 @@ \subsection{Harnack's inequality}
 Let $U = \{z \in \C : -s < \Re z < s, -1 < \Im z < 1 \}$.
 Compute an explicit constant $C$
 (doesn't need to be optimal)
-for this following $K$ for the general
+for the following $K$ for the general
 Harnack's inequality:
 \smallskip
 \begin{expartshor}{2}
@@ -15056,7 +15056,7 @@ \subsection{Schwarz reflection principle}
 $f \colon \partial \D \setminus S \to \R$ is continuous and bounded.
 By \exerciseref{exercise:dirichDwithsings}, a continuous $g \colon
 \overline{\D} \setminus S \to \R$ harmonic in $\D$ exists such that $g=f$ on
-$\partial D \setminus S$.  Prove that there is a unique such bounded $g$.
+$\partial \D \setminus S$.  Prove that there is a unique such bounded $g$.
 Hint: Part a) and Cayley.
 \end{exparts}
 \end{exercise}