masters-thesis

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cauchy_integral.tex (1078B)


      1 \begin{tikzpicture}
      2     \coordinate (O) at (0,0);
      3     \coordinate (X) at (\xmax,0);
      4     \coordinate (c) at (1.5,0);
      5     \path (c) +(-\R,0) coordinate (min);
      6     \path (c) +(\R,0) coordinate (max);
      7     \draw[->,line width=0.9] (\xmin,0) -- (1.08*\xmax,0) node[right] {$\mathrm{Re}$};
      8     \draw[->,line width=0.9] (0,\ymin) -- (0,1.08*\ymax) node[left] {$\mathrm{Im}$};
      9     \draw (c) circle (\R);
     10     \draw[->,black,very thick,line cap=round] (max) arc (0:40:\R) node[midway, right=0.02] {$\tau$};
     11     \tick{0.56, 0}{90};
     12     \tick{0.71, 0}{90};
     13     \tick{1.1, 0}{90};
     14     \tick{1.27, 0}{90};
     15     \tick{1.5, 0}{90} node[scale=0.9,below=-0.7] {$\lambda_{\mathrm{min}}, \ldots, \lambda_{\mathrm{max}}$};
     16     \tick{1.86, 0}{90};
     17     \tick{1.95, 0}{90};
     18     \tick{2.23, 0}{90};
     19     \draw [
     20         thick,
     21         decoration={
     22                 brace,
     23                 mirror,
     24                 raise=0.40cm
     25             },
     26         decorate
     27     ] (0.5, 0) -- (2.5, 0)
     28     node [pos=0.5,anchor=north,yshift=-0.55cm] {$\lambda(\bm K)$};
     29     \node at (2.8, -0.95) {$\Gamma$};
     30 \end{tikzpicture}