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authorAndreas Müller <andreas.mueller@ost.ch>2021-03-01 15:37:14 +0100
committerAndreas Müller <andreas.mueller@ost.ch>2021-03-01 15:37:14 +0100
commit37f57e7328eca4340589968b9e93a4229707611f (patch)
treee3f4ef190a3778d0d172b51bcf815ea3707bb791 /vorlesungen/03_endlichekoerper
parenttypos (diff)
downloadSeminarMatrizen-37f57e7328eca4340589968b9e93a4229707611f.tar.gz
SeminarMatrizen-37f57e7328eca4340589968b9e93a4229707611f.zip
add week 3 presentation
Diffstat (limited to 'vorlesungen/03_endlichekoerper')
-rw-r--r--vorlesungen/03_endlichekoerper/Makefile26
-rw-r--r--vorlesungen/03_endlichekoerper/MathSem-03-endlichekoerper.tex14
-rw-r--r--vorlesungen/03_endlichekoerper/common.tex16
-rw-r--r--vorlesungen/03_endlichekoerper/endlichekoerper-handout.tex11
-rw-r--r--vorlesungen/03_endlichekoerper/slides.tex29
5 files changed, 96 insertions, 0 deletions
diff --git a/vorlesungen/03_endlichekoerper/Makefile b/vorlesungen/03_endlichekoerper/Makefile
new file mode 100644
index 0000000..316e749
--- /dev/null
+++ b/vorlesungen/03_endlichekoerper/Makefile
@@ -0,0 +1,26 @@
+#
+# Makefile -- endlichekoerper
+#
+# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+#
+all: endlichekoerper-handout.pdf MathSem-03-endlichekoerper.pdf
+
+include ../slides/Makefile.inc
+
+SOURCES = common.tex slides.tex $(slides)
+
+MathSem-03-endlichekoerper.pdf: MathSem-03-endlichekoerper.tex $(SOURCES)
+ pdflatex MathSem-03-endlichekoerper.tex
+
+endlichekoerper-handout.pdf: endlichekoerper-handout.tex $(SOURCES)
+ pdflatex endlichekoerper-handout.tex
+
+thumbnail: thumbnail.jpg
+
+thumbnail.pdf: MathSem-03-endlichekoerper.pdf
+ pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \
+ MathSem-03-endlichekoerper.pdf 1
+thumbnail.jpg: thumbnail.pdf
+ convert -density 300 thumbnail.pdf \
+ -resize 1920x1080 -units PixelsPerInch thumbnail.jpg
+
diff --git a/vorlesungen/03_endlichekoerper/MathSem-03-endlichekoerper.tex b/vorlesungen/03_endlichekoerper/MathSem-03-endlichekoerper.tex
new file mode 100644
index 0000000..31229d7
--- /dev/null
+++ b/vorlesungen/03_endlichekoerper/MathSem-03-endlichekoerper.tex
@@ -0,0 +1,14 @@
+%
+% MathSem-03-endlichekoerper.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/03_endlichekoerper/common.tex b/vorlesungen/03_endlichekoerper/common.tex
new file mode 100644
index 0000000..3a279f2
--- /dev/null
+++ b/vorlesungen/03_endlichekoerper/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[Endliche Körper]{Rechnen in endlichen Körpern}
+\author[A.~Müller]{Prof. Dr. Andreas Müller}
+\date[]{}
+\newboolean{presentation}
+
diff --git a/vorlesungen/03_endlichekoerper/endlichekoerper-handout.tex b/vorlesungen/03_endlichekoerper/endlichekoerper-handout.tex
new file mode 100644
index 0000000..2d6c5b2
--- /dev/null
+++ b/vorlesungen/03_endlichekoerper/endlichekoerper-handout.tex
@@ -0,0 +1,11 @@
+%
+% endlichekoerper-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/03_endlichekoerper/slides.tex b/vorlesungen/03_endlichekoerper/slides.tex
new file mode 100644
index 0000000..67c97d6
--- /dev/null
+++ b/vorlesungen/03_endlichekoerper/slides.tex
@@ -0,0 +1,29 @@
+%
+% slides.tex -- XXX
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\section{Euklidischer Algorithmus}
+% XXX \folie{4/ggt.tex}
+% XXX \folie{4/euklidmatrix.tex}
+
+\section{Die Galois-Körper $\mathbb{F}_p$}
+% XXX \folie{4/fp.tex}
+% XXX \folie{4/division.tex}
+% XXX \folie{4/gauss.tex}
+% XXX \folie{4/dh.tex}
+% XXX ? \folie{4/polynomefp.tex}
+% XXX \folie{4/frobenius.tex}
+
+\section{Rechnen in $\mathbb{F}_p(\alpha)$}
+% XXX \folie{4/ggtpoly.tex}
+% XXX \folie{4/divisionpoly.tex}
+% XXX \folie{4/euklidpoly.tex}
+
+\section{$\mathbb{F}_2(\alpha)$}
+% XXX \folie{4/f2.tex}
+% XXX \folie{4/schieberegister.tex}
+
+\section{Anwendung: elliptische Kurven}
+% XXX Idee der elliptischen Kurve
+% XXX \folie{4/ecidee.tex}