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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_mseanalysis | |
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_mseanalysis')
-rw-r--r-- | vorlesungen/03_mseanalysis/Makefile | 33 | ||||
-rw-r--r-- | vorlesungen/03_mseanalysis/MathSemMSE-03-analysis.tex | 14 | ||||
-rw-r--r-- | vorlesungen/03_mseanalysis/analysis-handout.tex | 11 | ||||
-rw-r--r-- | vorlesungen/03_mseanalysis/common.tex | 16 | ||||
-rw-r--r-- | vorlesungen/03_mseanalysis/slides.tex | 46 |
5 files changed, 120 insertions, 0 deletions
diff --git a/vorlesungen/03_mseanalysis/Makefile b/vorlesungen/03_mseanalysis/Makefile new file mode 100644 index 0000000..4f8e482 --- /dev/null +++ b/vorlesungen/03_mseanalysis/Makefile @@ -0,0 +1,33 @@ +# +# Makefile -- analysis +# +# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +# +all: analysis-handout.pdf MathSemMSE-03-analysis.pdf + +include ../slides/Makefile.inc + +SOURCES = common.tex slides.tex $(slides) + +MathSemMSE-03-analysis.pdf: MathSemMSE-03-analysis.tex $(SOURCES) + pdflatex MathSemMSE-03-analysis.tex + +analysis-handout.pdf: analysis-handout.tex $(SOURCES) + pdflatex analysis-handout.tex + +thumbnail: thumbnail.jpg # fix1.jpg + +thumbnail.pdf: MathSemMSE-03-analysis.pdf + pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \ + MathSemMSE-03-analysis.pdf 1 +thumbnail.jpg: thumbnail.pdf + convert -density 300 thumbnail.pdf \ + -resize 1920x1080 -units PixelsPerInch thumbnail.jpg + +fix1.pdf: MathSemMSE-03-analysis.pdf + pdfjam --outfile fix1.pdf --papersize '{16cm,9cm}' \ + MathSemMSE-03-analysis.pdf 1 +fix1.jpg: fix1.pdf + convert -density 300 fix1.pdf \ + -resize 1920x1080 -units PixelsPerInch fix1.jpg + diff --git a/vorlesungen/03_mseanalysis/MathSemMSE-03-analysis.tex b/vorlesungen/03_mseanalysis/MathSemMSE-03-analysis.tex new file mode 100644 index 0000000..174562e --- /dev/null +++ b/vorlesungen/03_mseanalysis/MathSemMSE-03-analysis.tex @@ -0,0 +1,14 @@ +% +% MathSem-03-mseanalysis.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_mseanalysis/analysis-handout.tex b/vorlesungen/03_mseanalysis/analysis-handout.tex new file mode 100644 index 0000000..4986d7d --- /dev/null +++ b/vorlesungen/03_mseanalysis/analysis-handout.tex @@ -0,0 +1,11 @@ +% +% mseanalysis-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_mseanalysis/common.tex b/vorlesungen/03_mseanalysis/common.tex new file mode 100644 index 0000000..6c73e87 --- /dev/null +++ b/vorlesungen/03_mseanalysis/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[Analysis]{Analysis mit Matrizen} +\author[A.~Müller]{Prof. Dr. Andreas Müller} +\date[]{} +\newboolean{presentation} + diff --git a/vorlesungen/03_mseanalysis/slides.tex b/vorlesungen/03_mseanalysis/slides.tex new file mode 100644 index 0000000..7151909 --- /dev/null +++ b/vorlesungen/03_mseanalysis/slides.tex @@ -0,0 +1,46 @@ +% +% slides.tex -- XXX +% +% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +% + +\section{Matrixnormen} +\folie{2/norm.tex} +\folie{2/skalarprodukt.tex} +\folie{2/cauchyschwarz.tex} +\folie{2/polarformel.tex} +\folie{2/funktionenraum.tex} +\folie{2/operatornorm.tex} +\folie{2/funktionenalgebra.tex} +\folie{2/linearformnormen.tex} +\folie{2/frobeniusnorm.tex} +\folie{2/frobeniusanwendung.tex} + +\section{Approximation mit Polynomen} +\folie{5/spektrum.tex} +\folie{5/normal.tex} +\folie{5/unitaer.tex} +% XXX Stone-Weierstrass +% XXX \folie{5/stoneweierstrass.tex} +% XXX Spektrum einer Matrix +% XXX \folie{5/spektrum.tex} +% XXX Approximation einer Funktion auf dem Spektrum +% XXX \folie{5/spektrumapproximation.tex} +% XXX Approximation einer Matrix in der erzeugten Algebra +% XXX \folie{5/matrixapproximation.tex} +% XXX Gelfand-Transformation +% XXX \folie{5/gelfandtransformation.tex} + +\section{Potenzreihen} +\folie{5/konvergenzradius.tex} +\folie{5/krbeispiele.tex} +\folie{5/spektralgelfand.tex} +\folie{5/Aiteration.tex} +\folie{5/satzvongelfand.tex} + +\section{Differentialgleichungen} +\folie{5/potenzreihenmethode.tex} +\folie{5/exponentialfunktion.tex} +\folie{5/logarithmusreihe.tex} +\folie{5/hyperbolisch.tex} + |