1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
|
\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2]
\draw[gray, ->] (0,-2) -- (0,2) node[anchor=south]{Im $z$};
\draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{Re $z$};
\begin{scope}
\draw[thick, ->, orange] (-1, 0) -- (0,0);
\draw[thick, ->, darkgreen] (0, 0) -- (0,1.5);
\draw[thick, ->, darkgreen] (0, 0) -- (0,-1.5);
\draw[thick, ->, orange] (1, 0) -- (0,0);
\draw[thick, ->, red] (2, 0) -- (1,0);
\draw[thick, ->, blue] (2,1.5) -- (2, 0);
\draw[thick, ->, blue] (2,-1.5) -- (2, 0);
\draw[thick, ->, red] (2, 0) -- (3,0);
\node[anchor=south west] at (0,1.5) {$\infty$};
\node[anchor=south west] at (0,-1.5) {$\infty$};
\node[anchor=south west] at (0,0) {$1$};
\node[anchor=south] at (1,0) {$0$};
\node[anchor=south west] at (2,0) {$-1$};
\node[anchor=south west] at (2,1.5) {$-\infty$};
\node[anchor=south west] at (2,-1.5) {$-\infty$};
\node[anchor=south west] at (3,0) {$0$};
\end{scope}
\begin{scope}[xshift=4cm]
\draw[thick, ->, orange] (-1, 0) -- (0,0);
\draw[thick, ->, darkgreen] (0, 0) -- (0,1.5);
\draw[thick, ->, darkgreen] (0, 0) -- (0,-1.5);
% \draw[thick, ->, orange] (1, 0) -- (0,0);
% \draw[thick, ->, red] (2, 0) -- (1,0);
% \draw[thick, ->, blue] (2,1.5) -- (2, 0);
% \draw[thick, ->, blue] (2,-1.5) -- (2, 0);
% \draw[thick, ->, red] (2, 0) -- (3,0);
\node[anchor=south west] at (0,1.5) {$\infty$};
\node[anchor=south west] at (0,-1.5) {$\infty$};
\node[anchor=south west] at (0,0) {$1$};
% \node[anchor=south] at (1,0) {$0$};
% \node[anchor=south west] at (2,0) {$-1$};
% \node[anchor=south west] at (2,1.5) {$-\infty$};
% \node[anchor=south west] at (2,-1.5) {$-\infty$};
% \node[anchor=south west] at (3,0) {$0$};
\end{scope}
\begin{scope}[xshift=-4cm]
% \draw[thick, ->, orange] (-1, 0) -- (0,0);
\draw[thick, ->, darkgreen] (0, 0) -- (0,1.5);
\draw[thick, ->, darkgreen] (0, 0) -- (0,-1.5);
\draw[thick, ->, orange] (1, 0) -- (0,0);
\draw[thick, ->, red] (2, 0) -- (1,0);
\draw[thick, ->, blue] (2,1.5) -- (2, 0);
\draw[thick, ->, blue] (2,-1.5) -- (2, 0);
\draw[thick, ->, red] (2, 0) -- (3,0);
\node[anchor=south west] at (0,1.5) {$\infty$};
\node[anchor=south west] at (0,-1.5) {$\infty$};
\node[anchor=south west] at (0,0) {$1$};
\node[anchor=south] at (1,0) {$0$};
\node[anchor=south west] at (2,0) {$-1$};
\node[anchor=south west] at (2,1.5) {$-\infty$};
\node[anchor=south west] at (2,-1.5) {$-\infty$};
\node[anchor=south west] at (3,0) {$0$};
\end{scope}
\node[gray, anchor=north west] at (-4,0) {$-2\pi$};
\node[gray, anchor=north west] at (-2,0) {$-\pi$};
\node[gray, anchor=north west] at (0,0) {$0$};
\node[gray, anchor=north west] at (2,0) {$\pi$};
\node[gray, anchor=north west] at (4,0) {$2\pi$};
\node[gray, anchor=south east] at (0,-1.5) {$-\infty$};
\node[gray, anchor=south east] at (0, 0) {$0$};
\node[gray, anchor=south east] at (0, 1.5) {$\infty$};
\begin{scope}[yshift=-2.5cm]
\draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$w$};
\draw[thick, ->, blue] (-4, 0) -- (-2, 0);
\draw[thick, ->, red] (-2, 0) -- (0, 0);
\draw[thick, ->, orange] (0, 0) -- (2, 0);
\draw[thick, ->, darkgreen] (2, 0) -- (4, 0);
\node[anchor=south] at (-4,0) {$-\infty$};
\node[anchor=south] at (-2,0) {$-1$};
\node[anchor=south] at (0,0) {$0$};
\node[anchor=south] at (2,0) {$1$};
\node[anchor=south] at (4,0) {$\infty$};
\end{scope}
\end{tikzpicture}
|
