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added 3 examples

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Martin Thoma 2012-10-07 13:45:44 +02:00
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commit e3ac2dc858
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tikz/dirichlet-function/dirichlet-function.tex Normal file
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\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{amssymb,amsmath}
\usepackage{pgfplots}
\begin{document}
\begin{preview}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
width=15cm, height=15cm, % size of the image
grid = both,
grid style={dashed, gray!30},
enlargelimits=true,
xmin=-1, % start the diagram at this x-coordinate
xmax= 1, % end the diagram at this x-coordinate
ymin= 0, % start the diagram at this y-coordinate
ymax= 1, % end the diagram at this y-coordinate
/pgfplots/xtick={-1,-0.8,...,1}, % make steps of length 0.2
/pgfplots/ytick={0,0.1,...,1}, % make steps of length 0.1
axis background/.style={fill=white},
ylabel=y,
xlabel=x,
legend style={at={(0.8,0.8)}, anchor=north}]
\addplot[domain=-1:1, ultra thick,samples=100,red] {1};
\addplot[domain=-1:1, ultra thick,samples=100,blue] {0};
\legend{$1 \text{, if } x \in \mathbb{Q}$, $0 \text{, if } x \in \mathbb{R} \setminus \mathbb{Q}$}
\end{axis}
\end{tikzpicture}
\end{preview}
\end{document}