From 241305e4f895dfb63b57a9e54b6ec661f8999c36 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Erik=20L=C3=B6ffler?=
 <100943759+erik-loeffler@users.noreply.github.com>
Date: Fri, 26 Aug 2022 13:18:40 +0200
Subject: Grammar and formatting mistakes corrected in solution properties and
 fourier example.

---
 buch/papers/sturmliouville/eigenschaften.tex | 18 ++----------------
 1 file changed, 2 insertions(+), 16 deletions(-)

(limited to 'buch/papers/sturmliouville/eigenschaften.tex')

diff --git a/buch/papers/sturmliouville/eigenschaften.tex b/buch/papers/sturmliouville/eigenschaften.tex
index 8616172..fc9c3da 100644
--- a/buch/papers/sturmliouville/eigenschaften.tex
+++ b/buch/papers/sturmliouville/eigenschaften.tex
@@ -5,20 +5,6 @@
 % (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
 %
 
-% TODO:
-%  state goal
-%  use only what is necessary
-%  make sure it is easy enough to understand (sentences as shot as possible)
-%    -> Eigenvalue problem with matrices only
-%    -> prepare reader for following examples
-%
-% order:
-%  1. Eigenvalue problems with matrices
-%  2. Sturm-Liouville is an Eigenvalue problem
-%  3. Sturm-Liouville operator (self-adjacent)
-%  4. Spectral theorem (brief)
-%  5. Base of orthonormal functions
-
 \section{Eigenschaften von Lösungen
 \label{sturmliouville:sec:solution-properties}}
 \rhead{Eigenschaften von Lösungen}
@@ -99,9 +85,9 @@ Analog zur Matrix $A$ aus
 Abschnitt~\ref{sturmliouville:sec:eigenvalue-problem-matrix} kann auch für
 $L$ gezeigt werden, dass dieser Operator selbstadjungiert ist, also dass
 \[
-    \langle L v, w\rangle
+    \langle L u, v\rangle
     =
-    \langle v, L w\rangle
+    \langle u, L v\rangle
 \]
 gilt.
 Wie in Kapitel~\ref{buch:integrale:subsection:sturm-liouville-problem} bereits
-- 
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