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@@ -0,0 +1,45 @@
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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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+
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+\usepackage{amsmath}
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+\usepackage{pgfplots}
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+\usepackage{tikz}
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+\usetikzlibrary{arrows, positioning, calc,matrix}
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+
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+\begin{document}
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+\begin{preview}
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+\begin{tikzpicture}
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+ \begin{axis}[
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+ width=10cm, height=10cm, % size of the image
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+ axis lines=middle,
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+ grid = major,
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+ grid style={dashed, gray!30},
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+ %xmode=log,log basis x=10,
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+ %ymode=log,log basis y=10,
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+ xmin=-100, % start the diagram at this x-coordinate
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+ xmax= 100, % end the diagram at this x-coordinate
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+ ymin=-100, % start the diagram at this y-coordinate
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+ ymax= 100, % end the diagram at this y-coordinate
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+ /pgfplots/xtick={-100,-80,...,100},
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+ /pgfplots/ytick={-100,-80,...,100},
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+ tick align=outside,
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+ legend pos= north west,
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+ legend cell align=left,
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+ legend style={legend pos=north west,font=\tiny}]
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+
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+ \addplot[domain=-100:100, red, thick] {x};
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+ \addlegendentry{$\begin{pmatrix}0\\0\end{pmatrix} + U$};
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+
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+ \addplot[domain=-100:100, blue, thick] {x + 12};
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+ \addlegendentry{$\begin{pmatrix}0\\12\end{pmatrix} + U$};
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+
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+ \addplot[domain=-100:100, purple, thick] {x - 42};
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+ \addlegendentry{$\begin{pmatrix}0\\-42\end{pmatrix} + U$};
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+
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+ \addplot[domain=-100:100, lime, thick] {x + 50};
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+ \addlegendentry{$\begin{pmatrix}0\\50\end{pmatrix} + U$};
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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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