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added example for taylor polynoms

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Martin Thoma 2012-09-28 22:54:58 +02:00
parent 1055e55c6e
commit a7e3e56a42
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31
tikz/taylorpolynom-sin/Makefile Normal file
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SOURCE = taylorpolynom-sin
DELAY = 80
DENSITY = 300
WIDTH = 500
make:
pdflatex -shell-escape $(SOURCE).tex -output-format=pdf
make clean
clean:
rm -rf $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot *.table
gif:
pdfcrop $(SOURCE).pdf
convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
make clean
png:
make
make svg
inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
transparentGif:
convert $(SOURCE).pdf -transparent white result.gif
make clean
svg:
#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
pdf2svg $(SOURCE).pdf $(SOURCE).svg
# Necessary, as pdf2svg does not always create valid svgs:
inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

32
tikz/taylorpolynom-sin/taylorpolynom-sin-pgf.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows, positioning, calc}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
axis x line=middle,
axis y line=middle,
enlarge y limits=true,
xmin=-8, xmax=8, % Positive domain...
width=15cm, height=8cm, % size of the image
grid = major,
grid style={dashed, gray!30},
ymin=-4, % start the diagram at this y-coordinate
ymax= 4, % end the diagram at this y-coordinate
axis background/.style={fill=white},
ylabel=$y$,
xlabel=$x$,
legend style={at={(0.07,0.35)}, anchor=north}
]
\addplot[domain=-8:8,thick,samples=100,red] {x};
\addplot[domain=-8:8,thick,samples=100,green] {x-x^3/6};
\addplot[domain=-8:8,thick,samples=100,blue] {x-x^3/6+x^5/120};
%\addplot[domain=-8:8,thick,samples=100,pink] {x-x^3/6+x^5/120-x^7/5040+x^9/362880-x^11/3916800};
\addplot[domain=-8:8,thick,samples=100,black] {sin(deg(x))};
\legend{$T_1$, $T_3$, $T_5$, $T_{11}$, $T_\infty$}
\end{axis}
\end{tikzpicture}
\end{document}

39
tikz/taylorpolynom-sin/taylorpolynom-sin.tex Normal file
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\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{0mm}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows, positioning, calc}
\usepackage{xcolor}
\definecolor{pink}{HTML}{FF0BB7}
\begin{document}
\begin{preview}
\begin{tikzpicture}
\begin{axis}[
axis x line=middle,
axis y line=middle,
enlarge y limits=true,
xmin=-8.5, xmax=8.5, % Positive domain...
width=15cm, height=8cm, % size of the image
grid = major,
grid style={dashed, gray!30},
ymin=-4, % start the diagram at this y-coordinate
ymax= 4, % end the diagram at this y-coordinate
axis background/.style={fill=white},
ylabel=$y$,
xlabel=$x$,
legend style={at={(0.07,0.37)}, anchor=north}
]
\addplot[domain=-8:8,thick,samples=200,red] {x};
\addplot[domain=-8:8,thick,samples=200,green] {x-x^3/6};
\addplot[domain=-8:8,thick,samples=200,blue] {x-x^3/6+x^5/120};
\addplot[domain=-8:8,thick,samples=200,pink] {x-x^3/6+x^5/120-x^7/(7!)+x^9/(9!)-x^11/(11!)+x^13/(13!)-x^15/(15!)};
\addplot[domain=-8:8,thick,samples=200,black] {sin(deg(x))};
\legend{$T_1$, $T_3$, $T_5$, $T_{15}$, $T_\infty$}
\end{axis}
\end{tikzpicture}
\end{preview}
\end{document}