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minor changes
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5 changed files with 72 additions and 4 deletions
2
.gitignore
vendored
2
.gitignore
vendored
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@ -26,6 +26,8 @@
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*.mtc
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*.mtc
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*.mtc0
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*.mtc0
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*.pdf
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## I want to keep some PDFs
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## I want to keep some PDFs
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documents/Analysis I/*.pdf
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documents/Analysis I/*.pdf
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documents/Analysis II/*.pdf
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documents/Analysis II/*.pdf
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@ -3578,7 +3578,7 @@ Die allgemeine Lösung von ($\ast$) lautet also:
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\index{Anfangswertproblem}
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\index{Anfangswertproblem}
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In diesem Paragraphen sei $n\in\mdn, I\subseteq\mdr$ ein Intervall und $a_0,\ldots,a_{n-1},b:I\to\mdr$
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In diesem Paragraphen sei $n\in\mdn, I\subseteq\mdr$ ein Intervall und $a_0,\ldots,a_{n-1},b:I\to\mdr$
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stetig. Für $y\in C^n(I,\mdr)$ setze $Ly:=y^{(n)}+a_{n-1}(x)y^{(n-1)}+\cdots+a_0(x)y$.
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stetig. Für $y\in C^n(I,\mdr)$ setze $Ly:=y^{(n)}+a_{n-1}(x)y^{(n-1)}+\cdots+a_0(x)y$.
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Die Dgl
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Die Differenzialgleichung
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\begin{align*}
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\begin{align*}
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\tag D Ly=b
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\tag D Ly=b
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\end{align*}
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\end{align*}
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@ -1,8 +1,6 @@
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\documentclass{article}
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\documentclass{article}
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\usepackage[pdftex,active,tightpage]{preview}
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\usepackage[pdftex,active,tightpage]{preview}
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\setlength\PreviewBorder{2mm}
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\setlength\PreviewBorder{2mm}
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%\documentclass[varwidth=true, border=20pt]{standalone}
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%\documentclass{article}
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\usepackage{pgfplots}
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\usepackage{pgfplots}
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\begin{document}
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\begin{document}
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@ -23,6 +21,7 @@
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domain=-2:2,
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domain=-2:2,
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y domain=-2:2,
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y domain=-2:2,
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samples=55, %60 : TeX capacity exceeded, sorry [main memory size=3000000].
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samples=55, %60 : TeX capacity exceeded, sorry [main memory size=3000000].
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% see also http://tex.stackexchange.com/a/7954/5645
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xlabel=$x$,
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xlabel=$x$,
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ylabel=$y$,
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ylabel=$y$,
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zlabel={$z$},
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zlabel={$z$},
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@ -33,7 +32,7 @@
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height=0.25*\pgfkeysvalueof{/pgfplots/parent axis height},
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height=0.25*\pgfkeysvalueof{/pgfplots/parent axis height},
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title={$f(x,y)$}
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title={$f(x,y)$}
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}
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}
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]
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]
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\addplot3[surf] {x*y*y/(x*x+y*y*y*y)};
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\addplot3[surf] {x*y*y/(x*x+y*y*y*y)};
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\end{axis}
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\end{axis}
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\end{tikzpicture}
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\end{tikzpicture}
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36
tikz/3d-helix/3d-helix.tex
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36
tikz/3d-helix/3d-helix.tex
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@ -0,0 +1,36 @@
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\documentclass{article}
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\usepackage[pdftex,active,tightpage]{preview}
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\setlength\PreviewBorder{2mm}
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\usepackage{pgfplots}
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\begin{document}
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\begin{preview}
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\pgfplotsset{
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colormap={whitered}{
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color(0cm)=(white);
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color(1cm)=(orange!75!red)
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}
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}
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\begin{tikzpicture}
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\begin{axis}[
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colormap name=whitered,
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width=15cm,
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view={335}{50},
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enlargelimits=false,
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grid=major,
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domain=-2:2,
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y domain=-2:2,
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samples=40, %60 : TeX capacity exceeded, sorry [main memory size=3000000].
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% see also http://tex.stackexchange.com/a/7954/5645
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xlabel=$x$,
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ylabel=$y$,
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zlabel={$z$}
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]
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\addplot3+[domain=0:2*pi,samples y=0]
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({sin(deg(x))},
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{cos(deg(x))},
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{x});
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\end{axis}
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\end{tikzpicture}
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\end{preview}
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\end{document}
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31
tikz/3d-helix/Makefile
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31
tikz/3d-helix/Makefile
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@ -0,0 +1,31 @@
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SOURCE = 3d-helix
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DELAY = 80
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DENSITY = 300
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WIDTH = 500
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make:
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pdflatex $(SOURCE).tex -output-format=pdf
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make clean
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clean:
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rm -rf $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
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gif:
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pdfcrop $(SOURCE).pdf
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convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
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make clean
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png:
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make
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make svg
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inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
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transparentGif:
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convert $(SOURCE).pdf -transparent white result.gif
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make clean
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svg:
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#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
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pdf2svg $(SOURCE).pdf $(SOURCE).svg
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# Necessary, as pdf2svg does not always create valid svgs:
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inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg
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