6 files changed, 111 insertions, 0 deletions
diff --git a/vorlesungen/12_msewkeitsmatrizen/Makefile b/vorlesungen/12_msewkeitsmatrizen/Makefile
new file mode 100644
index 0000000..c461d96
--- /dev/null
+++ b/vorlesungen/12_msewkeitsmatrizen/Makefile
@@ -0,0 +1,33 @@
+#
+# Makefile -- wkeitsmatrizen
+#
+# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+#
+all:	wkeitsmatrizen-handout.pdf MathSemMSE-12-wkeitsmatrizen.pdf
+
+include ../slides/Makefile.inc
+
+SOURCES = common.tex slides.tex $(slides)
+
+MathSemMSE-12-wkeitsmatrizen.pdf:	MathSemMSE-12-wkeitsmatrizen.tex $(SOURCES)
+	pdflatex MathSemMSE-12-wkeitsmatrizen.tex
+
+wkeitsmatrizen-handout.pdf:	wkeitsmatrizen-handout.tex $(SOURCES)
+	pdflatex wkeitsmatrizen-handout.tex
+
+thumbnail:	thumbnail.jpg # fix1.jpg
+
+thumbnail.pdf:	MathSemMSE-12-wkeitsmatrizen.pdf
+	pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \
+		MathSemMSE-12-wkeitsmatrizen.pdf 1
+thumbnail.jpg:	thumbnail.pdf
+	convert -density 300 thumbnail.pdf \
+                -resize 1920x1080 -units PixelsPerInch thumbnail.jpg
+
+fix1.pdf:	MathSemMSE-12-wkeitsmatrizen.pdf
+	pdfjam --outfile fix1.pdf --papersize '{16cm,9cm}' \
+		MathSemMSE-12-wkeitsmatrizen.pdf 1
+fix1.jpg:	fix1.pdf
+	convert -density 300 fix1.pdf \
+                -resize 1920x1080 -units PixelsPerInch fix1.jpg
+
diff --git a/vorlesungen/12_msewkeitsmatrizen/MathSemMSE-12-wkeitsmatrizen.tex b/vorlesungen/12_msewkeitsmatrizen/MathSemMSE-12-wkeitsmatrizen.tex
new file mode 100644
index 0000000..e526731
--- /dev/null
+++ b/vorlesungen/12_msewkeitsmatrizen/MathSemMSE-12-wkeitsmatrizen.tex
@@ -0,0 +1,14 @@
+%
+% MathSem-12-msewkeitsmatrizen.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
+\end{frame}
+\input{slides.tex}
+\end{document}
diff --git a/vorlesungen/12_msewkeitsmatrizen/common.tex b/vorlesungen/12_msewkeitsmatrizen/common.tex
new file mode 100644
index 0000000..2de59e8
--- /dev/null
+++ b/vorlesungen/12_msewkeitsmatrizen/common.tex
@@ -0,0 +1,16 @@
+%
+% 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[W'keitsmatrizen]{Wahrscheinlichkeitsmatrizen}
+\author[A.~Müller]{Prof. Dr. Andreas Müller}
+\date[]{}
+\newboolean{presentation}
+
diff --git a/vorlesungen/12_msewkeitsmatrizen/slides.tex b/vorlesungen/12_msewkeitsmatrizen/slides.tex
new file mode 100644
index 0000000..177712d
--- /dev/null
+++ b/vorlesungen/12_msewkeitsmatrizen/slides.tex
@@ -0,0 +1,13 @@
+%
+% slides.tex -- XXX
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\section{Google}
+
+\section{Markov-Ketten}
+
+\section{Perron-Frobenius}
+
+\section{Parrondo}
+
diff --git a/vorlesungen/12_msewkeitsmatrizen/wkeitsmatrizen-handout.tex b/vorlesungen/12_msewkeitsmatrizen/wkeitsmatrizen-handout.tex
new file mode 100644
index 0000000..ae577c3
--- /dev/null
+++ b/vorlesungen/12_msewkeitsmatrizen/wkeitsmatrizen-handout.tex
@@ -0,0 +1,11 @@
+%
+% msewkeitsmatrizen-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/slides/7/exponentialreihe.tex b/vorlesungen/slides/7/exponentialreihe.tex
new file mode 100644
index 0000000..b1aeda6
--- /dev/null
+++ b/vorlesungen/slides/7/exponentialreihe.tex
@@ -0,0 +1,24 @@
+%
+% exponentialreihe.tex -- slide template
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\bgroup
+\begin{frame}[t]
+\setlength{\abovedisplayskip}{5pt}
+\setlength{\belowdisplayskip}{5pt}
+\frametitle{Exponentialreihe}
+\begin{align*}
+h(s) &= \exp(tA_0 + sB) = \sum_{k=0}^\infty \frac{1}{k!} (tA_0 + sB)^k
+\\
+&=
+I + (tA_0 + sB) + \frac{1}{2!}(t^2A_0^2 + ts(A_0B + BA_0) + s^2B^2)
++ \frac{1}{3!}(t^3A_0^3 + t^2s(A_0^2B + A_0BA_0 + BA_0^2) + \dots)
++ \dots
+\\
+\frac{dg(s)}{ds}
+&=
+B + \frac1{2!}t(A_0B+BA_0) + \frac{1}{3!}t^2(A_0^2B+A_0BA_0+BA_0^2) + \dots
+\end{align*}
+\end{frame}
+\egroup