aboutsummaryrefslogtreecommitdiffstats
path: root/vorlesungen/03_endlichekoerper
diff options
context:
space:
mode:
authorLordMcFungus <mceagle117@gmail.com>2021-03-22 18:05:11 +0100
committerGitHub <noreply@github.com>2021-03-22 18:05:11 +0100
commit76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7 (patch)
tree11b2d41955ee4bfa0ae5873307c143f6b4d55d26 /vorlesungen/03_endlichekoerper
parentmore chapter structure (diff)
parentadd title image (diff)
downloadSeminarMatrizen-76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7.tar.gz
SeminarMatrizen-76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7.zip
Merge pull request #1 from AndreasFMueller/master
update
Diffstat (limited to 'vorlesungen/03_endlichekoerper')
-rw-r--r--vorlesungen/03_endlichekoerper/Makefile35
-rw-r--r--vorlesungen/03_endlichekoerper/MathSem-03-endlichekoerper.tex18
-rw-r--r--vorlesungen/03_endlichekoerper/common.tex16
-rw-r--r--vorlesungen/03_endlichekoerper/dh.jpgbin0 -> 154552 bytes
-rw-r--r--vorlesungen/03_endlichekoerper/endlichekoerper-handout.tex11
-rw-r--r--vorlesungen/03_endlichekoerper/slides.tex31
6 files changed, 111 insertions, 0 deletions
diff --git a/vorlesungen/03_endlichekoerper/Makefile b/vorlesungen/03_endlichekoerper/Makefile
new file mode 100644
index 0000000..cc2ded5
--- /dev/null
+++ b/vorlesungen/03_endlichekoerper/Makefile
@@ -0,0 +1,35 @@
+#
+# 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 fix1.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
+
+fix1.pdf: MathSem-03-endlichekoerper.pdf
+ pdfjam --outfile fix1.pdf --papersize '{16cm,9cm}' \
+ MathSem-03-endlichekoerper.pdf 76
+fix1.jpg: fix1.pdf
+ convert -density 300 fix1.pdf \
+ -resize 1920x1080 -units PixelsPerInch fix1.jpg
+dh.jpg: fix1.jpg
+ convert -extract 1598x860+256+186 fix1.jpg dh.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..9ff79e6
--- /dev/null
+++ b/vorlesungen/03_endlichekoerper/MathSem-03-endlichekoerper.tex
@@ -0,0 +1,18 @@
+%
+% 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
+\vspace{-1.6cm}
+\begin{center}
+\includegraphics[width=11cm]{dh.jpg}
+\end{center}
+\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/dh.jpg b/vorlesungen/03_endlichekoerper/dh.jpg
new file mode 100644
index 0000000..8bd07c3
--- /dev/null
+++ b/vorlesungen/03_endlichekoerper/dh.jpg
Binary files differ
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..c4b06b4
--- /dev/null
+++ b/vorlesungen/03_endlichekoerper/slides.tex
@@ -0,0 +1,31 @@
+%
+% slides.tex -- XXX
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\section{Euklidischer Algorithmus}
+\folie{4/ggt.tex}
+\folie{4/euklidmatrix.tex}
+\folie{4/euklidbeispiel.tex}
+\folie{4/euklidtabelle.tex}
+
+\section{Die Galois-Körper $\mathbb{F}_p$}
+\folie{4/fp.tex}
+\folie{4/division.tex}
+\folie{4/gauss.tex}
+\folie{4/dh.tex}
+% XXX \folie{4/frobenius.tex}
+
+\section{Rechnen in $\mathbb{F}_p(\alpha)$}
+\folie{4/divisionpoly.tex}
+\folie{4/euklidpoly.tex}
+\folie{4/polynomefp.tex}
+\folie{4/alpha.tex}
+
+\section{Spezialfall $\mathbb{F}_2(\alpha)$}
+% XXX \folie{4/f2.tex}
+\folie{4/schieberegister.tex}
+
+\section{Anwendung: elliptische Kurven}
+% XXX Idee der elliptischen Kurve
+% XXX \folie{4/ecidee.tex}