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- \begin{tikzpicture}
- \draw (0,0) ellipse (2cm and 1cm);
- \begin{scope}[xshift=-2.2cm,yshift=-2.8cm]
- \draw[->] (0,0) -- (0,1.5);
- \draw[->] (0,0) -- (1.5,0);
- \node at (0.3,0.16) {$\mathbb{R}^n$};
- \end{scope}
- \begin{scope}[xshift=0.4cm,yshift=-2.8cm]
- \draw[->] (0,0) -- (0,1.5);
- \draw[->] (0,0) -- (1.5,0);
- \node at (0.3,0.16) {$\mathbb{R}^n$};
- \end{scope}
- \def\ringa{(-0.3,0) circle (0.5cm)}
- \def\ringb{(+0.3,0) circle (0.5cm)}
- \begin{scope}[even odd rule]
- \clip \ringa;
- \fill[pattern color=red,pattern=north east lines] \ringb;
- \end{scope}
- \begin{scope}[even odd rule,shift={(-0.7,-2)}]
- \clip \ringa;
- \fill[draw=red,pattern color=red,pattern=north east lines] \ringb;
- \end{scope}
- \begin{scope}[even odd rule,shift={(+0.7,-2)}]
- \clip \ringb;
- \fill[draw=red,pattern color=red,pattern=north east lines] \ringa;
- \end{scope}
- \draw \ringa;
- \draw \ringb;
- \node at (-1,0.3) {$U_i$};
- \node at (+1,0.3) {$U_j$};
- \node at (-1.9,-2) {$V_i$};
- \node at (+1.9,-2) {$V_j$};
- \node at (+2.0,0.7) {$X$};
- \path[->] (-0.35,0) edge [bend angle=10,bend right] node[label={[label distance=0.1cm]210:$\varphi_i$}] {} (-1,-1.5);
- \path[->] (+0.35,0) edge [bend angle=10,bend left] node[label={[label distance=0.1cm]-30:$\varphi_j$}] {} (+1,-1.5);
- \draw (-1,-2) circle (0.5cm);
- \draw (+1,-2) circle (0.5cm);
- \draw[->, red, thick] (-0.3,-2) -- (0.3,-2);
- \end{tikzpicture}
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