cauchy_quadrature.tex (2782B)
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 \node (min') at (0.85, 1.65) {$\lambda_{\mathrm{min}}$}; 11 \draw [->] (min') to [bend right=25] ([xshift=-2pt, yshift=2pt] min); 12 \node (max') at (2.5, 1.7) {$\lambda_{\mathrm{max}}$}; 13 \draw [->] (max') to [bend right=-45] ([xshift=2pt, yshift=2pt] max); 14 \tick{min}{90}; 15 \tick{max}{90}; 16 \fill[black] (c) ++(71.9267:\R) circle[radius=1.2pt]; 17 \fill[black] (c) ++(76.54278905:\R) circle[radius=1.2pt]; 18 \fill[black] (c) ++(104.21599104:\R) circle[radius=1.2pt]; 19 \fill[black] (c) ++(135.6918:\R) circle[radius=1.2pt]; 20 \fill[black] (c) ++(155.38527369:\R) circle[radius=1.2pt]; 21 \fill[black] (c) ++(156.0644:\R) circle[radius=1.2pt]; 22 \fill[black] (c) ++(146.670:\R) circle[radius=1.2pt]; 23 \fill[black] (c) ++(162.42656553:\R) circle[radius=1.2pt]; 24 \fill[black] (c) ++(164.4984:\R) circle[radius=1.2pt]; 25 \fill[black] (c) ++(173.6467:\R) circle[radius=1.2pt]; 26 \fill[black] (c) ++(-174.5560:\R) circle[radius=1.2pt]; 27 \fill[black] (c) ++(-173.471:\R) circle[radius=1.2pt]; 28 \fill[black] (c) ++(-172.3679:\R) circle[radius=1.2pt]; 29 \fill[black] (c) ++(-170.0421:\R) circle[radius=1.2pt]; 30 \fill[black] (c) ++(-169.65941668:\R) circle[radius=1.2pt]; 31 \fill[black] (c) ++(-168.5632:\R) circle[radius=1.2pt]; 32 \fill[black] (c) ++(-167.3076:\R) circle[radius=1.2pt]; 33 \fill[black] (c) ++(-155.0252:\R) circle[radius=1.2pt]; 34 \fill[black] (c) ++(-146.67269207:\R) circle[radius=1.2pt]; 35 \fill[black] (c) ++(-144.91918461:\R) circle[radius=1.2pt]; 36 \fill[black] (c) ++(-140.89654159:\R) circle[radius=1.2pt]; 37 \fill[black] (c) ++(-135.86657224:\R) circle[radius=1.2pt]; 38 \fill[black] (c) ++(-105.76963215:\R) circle[radius=1.2pt]; 39 \fill[black] (c) ++(-97.69578016:\R) circle[radius=1.2pt]; 40 \fill[black] (c) ++(-85.51632491:\R) circle[radius=1.2pt]; 41 \fill[black] (c) ++(-22.6600:\R) circle[radius=1.2pt]; 42 \fill[black] (c) ++(-3.31083639:\R) circle[radius=1.2pt]; 43 % \node[preaction={fill, white, opacity=0.35}] (tau) at (c) {$\tau_1, \ldots, \tau_Q$}; 44 % \draw [->] (tau) to [bend right=-45] ++(76.54278905:\R); 45 % \draw [->] (tau) to [bend right=-45] ++(164.4984:\R); 46 % \draw [->] (tau) to [bend right=-45] ++(-146.67269207:\R); 47 % \draw [->] (tau) to [bend right=-45] ++(-105.76963215:\R); 48 % \draw [->] (tau) to [bend right=-45] ++(-3.31083639:\R); 49 \end{tikzpicture}