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Beispiel für offene Umbebung hinzugefügt
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3 changed files with 56 additions and 2 deletions
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documents/GeoTopo/figures/neighbourhood-topology.tex
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47
documents/GeoTopo/figures/neighbourhood-topology.tex
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\begin{tikzpicture}
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\begin{axis}[
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axis x line=middle,
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axis y line=middle,
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%width=9cm,
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%height=4.5cm,
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xmin=-1, % start the diagram at this x-coordinate
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xmax= 5, % end the diagram at this x-coordinate
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ymin=-1, % start the diagram at this y-coordinate
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ymax= 5, % end the diagram at this y-coordinate
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xlabel=$X_1$,
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ylabel=$X_2$,
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ticks=none,
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enlargelimits=true,
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after end axis/.code={
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\draw [decorate,decoration={brace,mirror,raise=15pt}] (axis cs:0,3.6) -- (axis cs:0,2.5) node [midway,left=20pt] {$U_2$};
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\draw [decorate,decoration={brace,mirror,raise=12pt}] (axis cs:1.5,0) -- (axis cs:2.5,0) node [midway,below=16pt] {$U_1$};
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}]
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\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)};
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\node[orange] at (axis cs:4,4) [anchor=south] {$U$};
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% Draw help lines
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\addplot[dashed] coordinates {(1.5,0) (1.5,3.6)};
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\addplot[dashed] coordinates {(2.5,0) (2.5,3.6)};
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\addplot[dashed] coordinates {(0,2.5) (2.5,2.5)};
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\addplot[dashed] coordinates {(0,3.6) (2.5,3.6)};
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% Draw solid square
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\addplot[mark=none, red, thick, fill=red!30] coordinates {(2.5,2.5) (2.5,3.6) (1.5,3.6) (1.5,2.5) (2.5,2.5)};
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% Draw x and annotation
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\node[blue] at (axis cs:2,3) [anchor=south west] {$x$};
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\addplot[mark=*, blue] coordinates {(2,3)};
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% Draw ticks of help lines
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\addplot[mark=none, red, thick] coordinates {(1.5, -0.1) (1.5,0.1)};
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\addplot[mark=none, red, thick] coordinates {(2.5, -0.1) (2.5,0.1)};
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\addplot[mark=none, red, thick] coordinates {(-0.1, 2.5) (0.1,2.5)};
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\addplot[mark=none, red, thick] coordinates {(-0.1, 3.6) (0.1,3.6)};
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% Draw axis text
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\node[blue] at (axis cs:0,3) [anchor=east] {$x_2$};
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\node[blue] at (axis cs:2,0) [anchor=north] {$x_1$};
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\end{axis}
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\end{tikzpicture}
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