Merge pull request #1 from AndreasFMueller/master

update

6 files changed, 102 insertions, 0 deletions

diff --git a/vorlesungen/06_spektral2/Makefile b/vorlesungen/06_spektral2/Makefile
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+++ b/vorlesungen/06_spektral2/Makefile
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+#
+# Makefile -- spektral2
+#
+# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+#
+all:	spektral2-handout.pdf MathSem-06-spektral2.pdf
+
+include ../slides/Makefile.inc
+
+SOURCES = common.tex slides.tex $(slides)
+
+MathSem-06-spektral2.pdf:	MathSem-06-spektral2.tex $(SOURCES)
+	pdflatex MathSem-06-spektral2.tex
+
+spektral2-handout.pdf:	spektral2-handout.tex $(SOURCES)
+	pdflatex spektral2-handout.tex
+
+thumbnail:	thumbnail.jpg # fix1.jpg
+
+thumbnail.pdf:	MathSem-06-spektral2.pdf
+	pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \
+		MathSem-06-spektral2.pdf 1
+thumbnail.jpg:	thumbnail.pdf
+	convert -density 300 thumbnail.pdf \
+                -resize 1920x1080 -units PixelsPerInch thumbnail.jpg
+
+fix1.pdf:	MathSem-06-spektral2.pdf
+	pdfjam --outfile fix1.pdf --papersize '{16cm,9cm}' \
+		MathSem-06-spektral2.pdf 65
+fix1.jpg:	fix1.pdf
+	convert -density 300 fix1.pdf \
+                -resize 1920x1080 -units PixelsPerInch fix1.jpg
+
+spektralradius.jpg:	fix1.jpg Makefile
+	convert -extract 660x620+300+400 fix1.jpg spektralradius.jpg
diff --git a/vorlesungen/06_spektral2/MathSem-06-spektral2.tex b/vorlesungen/06_spektral2/MathSem-06-spektral2.tex
new file mode 100644
index 0000000..b03d2d6
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+++ b/vorlesungen/06_spektral2/MathSem-06-spektral2.tex
@@ -0,0 +1,18 @@
+%
+% MathSem-06-spektral2.tex -- Präsentation 
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\documentclass[aspectratio=169]{beamer}
+\input{common.tex}
+\setboolean{presentation}{true}
+\begin{document}
+\begin{frame}
+\titlepage
+\vspace{-1.7cm}
+\begin{center}
+\includegraphics[width=6.6cm]{spektralradius.jpg}
+\end{center}
+\end{frame}
+\input{slides.tex}
+\end{document}
diff --git a/vorlesungen/06_spektral2/common.tex b/vorlesungen/06_spektral2/common.tex
new file mode 100644
index 0000000..a3d5d01
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+++ b/vorlesungen/06_spektral2/common.tex
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+%
+% common.tex -- gemeinsame definition
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\input{../common/packages.tex}
+\input{../common/common.tex}
+\mode<beamer>{%
+\usetheme[hideothersubsections,hidetitle]{Hannover}
+}
+\beamertemplatenavigationsymbolsempty
+\title[Spektraltheorie~2]{Spektraltheorie 2: Funktion $f(A)$ einer Matrix}
+\author[A.~Müller]{Prof. Dr. Andreas Müller}
+\date[]{}
+\newboolean{presentation}
+
diff --git a/vorlesungen/06_spektral2/slides.tex b/vorlesungen/06_spektral2/slides.tex
new file mode 100644
index 0000000..b049f2f
--- /dev/null
+++ b/vorlesungen/06_spektral2/slides.tex
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+%
+% slides.tex -- XXX
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\section{Normen}
+\folie{2/norm.tex}
+\folie{2/skalarprodukt.tex}
+\folie{2/operatornorm.tex}
+
+\section{Matrix-Analysis}
+\folie{5/konvergenzradius.tex}
+\folie{5/krbeispiele.tex}
+\folie{5/spektralgelfand.tex}
+\folie{5/Aiteration.tex}
+\folie{5/satzvongelfand.tex}
+% XXX stone weierstrass incomplete
+\folie{5/stoneweierstrass.tex}
+\folie{5/spektrum.tex}
+% XXX polynome auf dem spektrum
+% XXX Motiviation für *-Operation
+\folie{5/normal.tex}
diff --git a/vorlesungen/06_spektral2/spektral2-handout.tex b/vorlesungen/06_spektral2/spektral2-handout.tex
new file mode 100644
index 0000000..40ce63b
--- /dev/null
+++ b/vorlesungen/06_spektral2/spektral2-handout.tex
@@ -0,0 +1,11 @@
+%
+% spektral2-handout.tex -- Handout XXX
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\documentclass[handout,aspectratio=169]{beamer}
+\input{common.tex}
+\setboolean{presentation}{false}
+\begin{document}
+\input{slides.tex}
+\end{document}
diff --git a/vorlesungen/06_spektral2/spektralradius.jpg b/vorlesungen/06_spektral2/spektralradius.jpg
new file mode 100644
index 0000000..4e952cd
--- /dev/null
+++ b/vorlesungen/06_spektral2/spektralradius.jpg