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author | LordMcFungus <mceagle117@gmail.com> | 2021-03-22 18:05:11 +0100 |
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committer | GitHub <noreply@github.com> | 2021-03-22 18:05:11 +0100 |
commit | 76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7 (patch) | |
tree | 11b2d41955ee4bfa0ae5873307c143f6b4d55d26 /vorlesungen/03_endlichekoerper | |
parent | more chapter structure (diff) | |
parent | add title image (diff) | |
download | SeminarMatrizen-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/Makefile | 35 | ||||
-rw-r--r-- | vorlesungen/03_endlichekoerper/MathSem-03-endlichekoerper.tex | 18 | ||||
-rw-r--r-- | vorlesungen/03_endlichekoerper/common.tex | 16 | ||||
-rw-r--r-- | vorlesungen/03_endlichekoerper/dh.jpg | bin | 0 -> 154552 bytes | |||
-rw-r--r-- | vorlesungen/03_endlichekoerper/endlichekoerper-handout.tex | 11 | ||||
-rw-r--r-- | vorlesungen/03_endlichekoerper/slides.tex | 31 |
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 Binary files differnew file mode 100644 index 0000000..8bd07c3 --- /dev/null +++ b/vorlesungen/03_endlichekoerper/dh.jpg 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} |