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Symbolverzeichnis erweitert; neue Bilder

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Martin Thoma 2013-10-27 11:16:34 +01:00
parent c2109ebc5a
commit 6535e529de
29 changed files with 439 additions and 26 deletions
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2
documents/GeoTopo/figures/neighbourhood-topology.tex
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@ -17,7 +17,7 @@
\draw [decorate,decoration={brace,mirror,raise=12pt}] (axis cs:1.5,0) -- (axis cs:2.5,0) node [midway,below=16pt] {$U_1$};
}]
\addplot[mark=none, orange, smooth, thick, fill=orange!30] coordinates {(1,1) (2,0.5) (3,1.5) (3,2) (3.5,3) (3.2, 5) (2.2, 4.7) (1.5, 4.2) (1.1, 3.9) (0.9, 2.5) (1,1)};
\addplot[mark=none, orange, smooth cycle, thick, fill=orange!30] coordinates {(1,1) (2,0.5) (3,1.5) (3,2) (3.5,3) (3.2, 5) (2.2, 4.7) (1.5, 4.2) (1.1, 3.9) (0.9, 2.5)};
\node[orange] at (axis cs:4,4) [anchor=south] {$U$};
% Draw help lines

27
documents/GeoTopo/figures/open-square.tex Normal file
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@ -0,0 +1,27 @@
\begin{tikzpicture}
\begin{axis}[
axis x line=middle,
axis y line=middle,
xmin=-1.5, % start the diagram at this x-coordinate
xmax= 1.5, % end the diagram at this x-coordinate
ymin=-1.5, % start the diagram at this y-coordinate
ymax= 1.5, % end the diagram at this y-coordinate
ticks=none,
enlargelimits=true,
after end axis/.code={
\draw [decorate,decoration={brace,mirror,raise=2pt}] (axis cs:0,1) -- (axis cs:-1,1) node [midway,above=5pt] {$r$};
\draw [decorate,decoration={brace,mirror,raise=2pt}] (axis cs:1,1) -- (axis cs:0,1) node [midway,above=5pt] {$r$};
\draw [decorate,decoration={brace,mirror,raise=2pt}] (axis cs:1,0) -- (axis cs:1,1) node [midway,right=5pt] {$r$};
\draw [decorate,decoration={brace,mirror,raise=2pt}] (axis cs:1,-1) -- (axis cs:1,0) node [midway,right=5pt] {$r$};
}]
% Draw solid square
\addplot[mark=none, thick] coordinates {(-1,-1) (1,-1) (1,1) (-1,1) (-1,-1)};
\addplot[mark=*] coordinates {(0,0)};
% Draw axis text
\node at (axis cs:-1,0.5) [anchor=east] {$\mathfrak{B}_r(0) = $};
\end{axis}
\end{tikzpicture}

9
documents/GeoTopo/figures/quadrat-in-kreis-in-dots.tex Normal file
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@ -0,0 +1,9 @@
\begin{tikzpicture}[thick]
\draw (-1,-1) -- (1,-1) -- (1,1) -- (-1,1) -- cycle;
\draw (0cm,0cm) circle(0.9cm);
\begin{scope}[scale=1.7]
\draw (-1,-1) -- (1,-1) -- (1,1) -- (-1,1) -- cycle;
\draw (0cm,0cm) circle(0.9cm);
\end{scope}
\end{tikzpicture}

2
documents/GeoTopo/figures/ursprungsgeraden.tex
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@ -1,6 +1,6 @@
\begin{tikzpicture}
\begin{axis}[
legend pos=south east,
legend pos=south east,
axis x line=middle,
axis y line=middle,
%grid = major,

33
documents/GeoTopo/figures/zariski-topology.tex Normal file
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@ -0,0 +1,33 @@
\begin{tikzpicture}
\begin{axis}[
axis x line=middle,
axis y line=middle,
grid = major,
grid style={dashed, gray!30},
xmin= 0, % start the diagram at this x-coordinate
xmax= 5, % end the diagram at this x-coordinate
ymin= 0, % start the diagram at this y-coordinate
ymax= 5, % end the diagram at this y-coordinate
xtick={-1,0,1,2,3,4,5},
ytick={-1,0,1,2,3,4,5},
xlabel={$U_1 = \mathbb{R} \setminus \mathbb{N}$},
xlabel style={xshift=-2.5cm,yshift=-0.7cm},
ylabel={$U_2 = \mathbb{R} \setminus \mathbb{N}$},
ylabel style={rotate=-90, xshift=1.5cm},
xticklabels={,,},
yticklabels={,,},
tick align=outside,
enlargelimits=true]
% Draw solid square
\addplot[mark=o] coordinates {(0,0) (1,0) (2,0) (3,0) (4,0) (5,0)};
\addplot[mark=o] coordinates {(0,0) (0,1) (0,2) (0,3) (0,4) (0,5)};
\foreach \i in {0,1,2,3,4,5} {
\addplot[mark=none] coordinates {(-0.2,\i) (5.2,\i)};
\addplot[mark=none] coordinates {(\i,-0.2) (\i,5.2)};
}
\addplot[mark=none] coordinates {(0,2) (5,2)};
\end{axis}
\end{tikzpicture}