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author | Andreas Müller <andreas.mueller@ost.ch> | 2021-03-01 15:37:14 +0100 |
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committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-03-01 15:37:14 +0100 |
commit | 37f57e7328eca4340589968b9e93a4229707611f (patch) | |
tree | e3f4ef190a3778d0d172b51bcf815ea3707bb791 | |
parent | typos (diff) | |
download | SeminarMatrizen-37f57e7328eca4340589968b9e93a4229707611f.tar.gz SeminarMatrizen-37f57e7328eca4340589968b9e93a4229707611f.zip |
add week 3 presentation
-rw-r--r-- | vorlesungen/02_polynome/Makefile | 26 | ||||
-rw-r--r-- | vorlesungen/02_polynome/MathSem-02-polynome.tex | 18 | ||||
-rw-r--r-- | vorlesungen/02_polynome/common.tex | 16 | ||||
-rw-r--r-- | vorlesungen/02_polynome/meme.jpg | bin | 0 -> 46843 bytes | |||
-rw-r--r-- | vorlesungen/02_polynome/polynome-handout.tex | 11 | ||||
-rw-r--r-- | vorlesungen/02_polynome/slides.tex | 39 | ||||
-rw-r--r-- | vorlesungen/03_endlichekoerper/Makefile | 26 | ||||
-rw-r--r-- | vorlesungen/03_endlichekoerper/MathSem-03-endlichekoerper.tex | 14 | ||||
-rw-r--r-- | vorlesungen/03_endlichekoerper/common.tex | 16 | ||||
-rw-r--r-- | vorlesungen/03_endlichekoerper/endlichekoerper-handout.tex | 11 | ||||
-rw-r--r-- | vorlesungen/03_endlichekoerper/slides.tex | 29 | ||||
-rw-r--r-- | vorlesungen/slides/test.tex | 23 |
12 files changed, 228 insertions, 1 deletions
diff --git a/vorlesungen/02_polynome/Makefile b/vorlesungen/02_polynome/Makefile new file mode 100644 index 0000000..75409d2 --- /dev/null +++ b/vorlesungen/02_polynome/Makefile @@ -0,0 +1,26 @@ +# +# Makefile -- polynome +# +# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +# +all: polynome-handout.pdf MathSem-02-polynome.pdf + +include ../slides/Makefile.inc + +SOURCES = common.tex slides.tex $(slides) + +MathSem-02-polynome.pdf: MathSem-02-polynome.tex $(SOURCES) + pdflatex MathSem-02-polynome.tex + +polynome-handout.pdf: polynome-handout.tex $(SOURCES) + pdflatex polynome-handout.tex + +thumbnail: thumbnail.jpg + +thumbnail.pdf: MathSem-02-polynome.pdf + pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \ + MathSem-02-polynome.pdf 1 +thumbnail.jpg: thumbnail.pdf + convert -density 300 thumbnail.pdf \ + -resize 1920x1080 -units PixelsPerInch thumbnail.jpg + diff --git a/vorlesungen/02_polynome/MathSem-02-polynome.tex b/vorlesungen/02_polynome/MathSem-02-polynome.tex new file mode 100644 index 0000000..6da53dd --- /dev/null +++ b/vorlesungen/02_polynome/MathSem-02-polynome.tex @@ -0,0 +1,18 @@ +% +% MathSem-02-polynome.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{-40pt} +\begin{center} +\includegraphics[width=6cm]{meme.jpg} +\end{center} +\end{frame} +\input{slides.tex} +\end{document} diff --git a/vorlesungen/02_polynome/common.tex b/vorlesungen/02_polynome/common.tex new file mode 100644 index 0000000..022edab --- /dev/null +++ b/vorlesungen/02_polynome/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[Polynome]{Polynome und Matrizen} +\author[A.~Müller]{Prof. Dr. Andreas Müller} +\date[]{} +\newboolean{presentation} + diff --git a/vorlesungen/02_polynome/meme.jpg b/vorlesungen/02_polynome/meme.jpg Binary files differnew file mode 100644 index 0000000..8670e1a --- /dev/null +++ b/vorlesungen/02_polynome/meme.jpg diff --git a/vorlesungen/02_polynome/polynome-handout.tex b/vorlesungen/02_polynome/polynome-handout.tex new file mode 100644 index 0000000..62ff0ad --- /dev/null +++ b/vorlesungen/02_polynome/polynome-handout.tex @@ -0,0 +1,11 @@ +% +% polynome-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/02_polynome/slides.tex b/vorlesungen/02_polynome/slides.tex new file mode 100644 index 0000000..56efe3c --- /dev/null +++ b/vorlesungen/02_polynome/slides.tex @@ -0,0 +1,39 @@ +% +% slides.tex -- XXX +% +% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +% + +\section{Polynome und Matrizen} +\folie{3/motivation.tex} +\folie{3/inverse.tex} +\folie{3/polynome.tex} +\folie{3/division.tex} +\folie{3/division2.tex} + +\section{Polynomering} +\folie{3/ringstruktur.tex} +\folie{3/teilbarkeit.tex} +\folie{3/faktorisierung.tex} +\folie{3/faktorzerlegung.tex} +\folie{3/einsetzen.tex} + +\section{Minimalpolynom} +\folie{3/maximalergrad.tex} +\folie{3/minimalbeispiel.tex} +\folie{3/minimalpolynom.tex} + +\section{Wurzeln hinzufügen} +\folie{3/drehmatrix.tex} +\folie{3/drehfaktorisierung.tex} +\folie{3/fibonacci.tex} +\folie{3/operatoren.tex} +\folie{3/adjunktion.tex} +\folie{3/adjalgebra.tex} +% XXX \folie{3/adjunktioni.tex} +% XXX \folie{3/adjunktionsqrt2.tex} +% XXX \folie{3/adjunktionphi.tex} +% Adjunktion von \cos(\pi/1291) und \cos(\pi/1291) +% XXX \folie{3/adj1291.tex} + +% XXX \folie{3/ 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} diff --git a/vorlesungen/slides/test.tex b/vorlesungen/slides/test.tex index 9a657d1..7e97995 100644 --- a/vorlesungen/slides/test.tex +++ b/vorlesungen/slides/test.tex @@ -19,7 +19,7 @@ %\folie{3/minimalpolynom.tex} %\folie{3/drehmatrix.tex} %\folie{3/drehfaktorisierung.tex} -\folie{3/fibonacci.tex} +%\folie{3/fibonacci.tex} %\folie{3/operatoren.tex} %\folie{3/adjunktion.tex} %\folie{3/adjalgebra.tex} @@ -29,3 +29,24 @@ % Adjunktion von \cos(\pi/1291) und \cos(\pi/1291) % XXX \folie{3/adj1291.tex} +% XXX \folie{4/ggt.tex} +% XXX \folie{4/euklidmatrix.tex} + +% 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} + +% XXX \folie{4/ggtpoly.tex} +% XXX \folie{4/divisionpoly.tex} +% XXX \folie{4/euklidpoly.tex} + +% XXX \folie{4/f2.tex} +% XXX \folie{4/schieberegister.tex} + +% XXX Idee der elliptischen Kurve +% XXX \folie{4/ecidee.tex} +~ + |