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\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{calc,angles,patterns,patterns.meta,decorations.pathmorphing} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=1.1] % 弹簧-质点系统(完全伸展状态) \tikzstyle{mass} = [rectangle,fill=white,draw = black,inner sep=2mm] \tikzstyle{spring} = [decoration={aspect=0.7, segment length= 5pt, amplitude= 4pt,coil},decorate, thick] \node (a) [mass] at (0,0.6) {$m$}; \draw[decoration={aspect=0.7, segment length= 5pt, amplitude= 4pt,coil},decorate, thick] (0,2) -- (a); \node[] at (.5,1.5) {$k$}; \fill [pattern = north east lines] (-1.5,2) rectangle (1.5,2.25); \draw[thick] (-1.5,2) -- (1.5,2); \coordinate (a1) at (-0.6,-.1); \coordinate (a2) at (-0.6,1.3); \draw[<->, thick] (a1) -- (a2); \node[] at (-.9,0.6) {$q$}; \node[] at (0,2.5) { 理想弹簧-质点系统}; \node[] at (1.5,0) {(a)}; % 单摆 \fill [pattern = north east lines] (2.5,2) rectangle (5.5,2.25); \draw[thick] (2.5,2) -- (5.5,2); \coordinate (origin) at (4,2); \draw[dashed,gray,-] (origin) -- ++ (0,-1.5) node (orig_line) [black,below]{$ $}; \draw[thick] (origin) -- ++(300:1.5) coordinate (tip); \fill (tip) circle (0.1); \node[] at (4.6,1.45) {$l$}; \node[] at (5.1,.6) {$m$}; \node[] at (4,2.5) { 理想单摆}; \node[] at (5.5,0) {(b)}; \coordinate (a3) at (4.7,0.6); \coordinate (a4) at (4,0.4); \node[] at (4.18,1.28) {$\theta$}; \pic [draw, ->, angle eccentricity=1.5] {angle = orig_line--origin--tip}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[aip,preprint]{revtex4-1} \usepackage[utf8]{inputenc} \usepackage{amstext,amsfonts,amssymb,amsmath} \usepackage{color} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \def\checkmark{\tikz\fill[scale=0.4](0,.35) -- (.25,0) -- (1,.7) -- (.25,.15) -- cycle;} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \filldraw[fill=red,draw=green] circle (3pt); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[a4paper,12pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \usetikzlibrary{arrows.meta} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \draw[fill = blue!30!] (0:0.75cm) circle (0.25cm); \draw[fill = blue!50!] (72:0.75cm) circle (0.25cm); \draw[fill = blue!70!] (144:0.75cm) circle (0.25cm); \draw[fill = blue!90!] (216:0.75cm) circle (0.25cm); \draw[fill = blue!10!] (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.85cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) (340:1.3cm) ([xshift=2.5cm] 166:0.8cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.9cm) (144:1.2cm) ([xshift=-2.5cm] 0:1cm)}; \begin{scope}[shift={(2.5cm,0)}] \draw[fill = blue!90!] (0:0.75cm) circle (0.25cm); \draw[fill = blue!10!] (72:0.75cm) circle (0.25cm); \draw[fill = blue!30!] (144:0.75cm) circle (0.25cm); \draw[fill = blue!50!] (216:0.75cm) circle (0.25cm); \draw[fill = blue!70!] (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.85cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) (340:1.3cm) ([xshift=2.5cm] 166:0.8cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.9cm) (144:1.2cm) ([xshift=-2.5cm] 0:1cm)}; \end{scope} \begin{scope}[shift={(-2.5cm,0)}] \draw[fill = blue!70!] (0:0.75cm) circle (0.25cm); \draw[fill = blue!90!] (72:0.75cm) circle (0.25cm); \draw[fill = blue!10!] (144:0.75cm) circle (0.25cm); \draw[fill = blue!30!] (216:0.75cm) circle (0.25cm); \draw[fill = blue!50!] (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.85cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) (340:1.3cm) ([xshift=2.5cm] 166:0.8cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.9cm) (144:1.2cm) ([xshift=-2.5cm] 0:1cm)}; \end{scope} \begin{scope}[shift={(5cm,0)}] \draw[fill = blue!50!] (0:0.75cm) circle (0.25cm); \draw[fill = blue!70!] (72:0.75cm) circle (0.25cm); \draw[fill = blue!90!] (144:0.75cm) circle (0.25cm); \draw[fill = blue!10!] (216:0.75cm) circle (0.25cm); \draw[fill = blue!30!] (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.85cm)}; \draw[-Latex, dashed] plot [smooth, tension=1] coordinates {(288:1cm) (340:1.3cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.9cm) (144:1.2cm) ([xshift=-2.5cm] 0:1cm)}; \end{scope} \begin{scope}[shift={(-5cm,0)}] \draw[fill = blue!10!] (0:0.75cm) circle (0.25cm); \draw[fill = blue!30!] (72:0.75cm) circle (0.25cm); \draw[fill = blue!50!] (144:0.75cm) circle (0.25cm); \draw[fill = blue!70!] (216:0.75cm) circle (0.25cm); \draw[fill = blue!90!] (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.85cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) (340:1.3cm) ([xshift=2.5cm] 166:0.8cm)}; \draw[-Latex, dashed] plot [smooth, tension=1] coordinates {(88:0.9cm) (144:1.2cm)}; \end{scope} \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[a4paper,12pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \usetikzlibrary{arrows.meta} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \foreach \x in {-2,...,2}{ \draw [dotted] (\x,-2.5) -- (\x,2.5) ; } \foreach \y in {-2,...,2}{ \draw [dotted] (-2.5,\y) -- (2.5,\y) ; } \foreach \x in {-2,...,2}{ \foreach \y in {-2,...,2}{ \node at (\x,\y) [circle,fill,inner sep=1.5pt]{} ; } } \draw node[below left] (A) at (0,0) {$A$}; \draw node[below left] (B) at (-1,0) {$B$}; \draw node[above right] (C) at (1,1) {$C$}; \draw [-{Latex[length=2mm,width=2mm]},blue] (0,0) -- (0,-1) -- (1,-1) -- (1,0) -- (2,0) -- (2,1) -- (1,1) ; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[a4paper,12pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \usetikzlibrary{arrows.meta} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \draw[fill = blue!30!] (0:0.75cm) circle (0.25cm); \draw[fill = blue!50!] (72:0.75cm) circle (0.25cm); \draw[fill = blue!70!] (144:0.75cm) circle (0.25cm); \draw[fill = blue!90!] (216:0.75cm) circle (0.25cm); \draw[fill = blue!10!] (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.85cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) ([xshift=1.25cm] 300:0.95cm) ([xshift=2.5cm] 0:0.5cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) ([xshift=-1.25cm] 280:1cm) ([xshift=-2.5cm] 344:0.9cm)}; \begin{scope}[shift={(2.5cm,0)}] \draw[fill = blue!30!] (0:0.75cm) circle (0.25cm); \draw[fill = blue!50!] (72:0.75cm) circle (0.25cm); \draw[fill = blue!70!] (144:0.75cm) circle (0.25cm); \draw[fill = blue!90!] (216:0.75cm) circle (0.25cm); \draw[fill = blue!10!] (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.85cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) ([xshift=1.25cm] 300:0.95cm) ([xshift=2.5cm] 0:0.5cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) ([xshift=-1.25cm] 280:1cm) ([xshift=-2.5cm] 344:0.9cm)}; \end{scope} \begin{scope}[shift={(-2.5cm,0)}] \draw[fill = blue!30!] (0:0.75cm) circle (0.25cm); \draw[fill = blue!50!] (72:0.75cm) circle (0.25cm); \draw[fill = blue!70!] (144:0.75cm) circle (0.25cm); \draw[fill = blue!90!] (216:0.75cm) circle (0.25cm); \draw[fill = blue!10!] (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.85cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) ([xshift=1.25cm] 300:0.95cm) ([xshift=2.5cm] 0:0.5cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) ([xshift=-1.25cm] 280:1cm) ([xshift=-2.5cm] 344:0.9cm)}; \end{scope} \begin{scope}[shift={(5cm,0)}] \draw[fill = blue!30!] (0:0.75cm) circle (0.25cm); \draw[fill = blue!50!] (72:0.75cm) circle (0.25cm); \draw[fill = blue!70!] (144:0.75cm) circle (0.25cm); \draw[fill = blue!90!] (216:0.75cm) circle (0.25cm); \draw[fill = blue!10!] (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.85cm)}; \draw[-Latex, dashed] plot [smooth, tension=1] coordinates {(288:1cm) ([xshift=1.25cm] 300:0.95cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) ([xshift=-1.25cm] 280:1cm) ([xshift=-2.5cm] 344:0.9cm)}; \end{scope} \begin{scope}[shift={(-5cm,0)}] \draw[fill = blue!30!] (0:0.75cm) circle (0.25cm); \draw[fill = blue!50!] (72:0.75cm) circle (0.25cm); \draw[fill = blue!70!] (144:0.75cm) circle (0.25cm); \draw[fill = blue!90!] (216:0.75cm) circle (0.25cm); \draw[fill = blue!10!] (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.85cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:1cm) ([xshift=1.25cm] 300:0.95cm) ([xshift=2.5cm] 0:0.5cm)}; \draw[-Latex, dashed] plot [smooth, tension=1] coordinates {(288:1cm) ([xshift=-1.25cm] 280:1cm)}; \end{scope} \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[11pt,a4paper]{amsart} \usepackage{tikz} \usepackage{tikz-cd} \usepackage{amssymb, amsmath} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw (101,111) -- (317,111) -- (317,221) -- (101,221) -- cycle ; \draw (100,112) .. controls (95.33,112) and (93,114.33) .. (93,119) -- (93,156) .. controls (93,162.67) and (90.67,166) .. (86,166) .. controls (90.67,166) and (93,169.33) .. (93,176)(93,173) -- (93,213) .. controls (93,217.67) and (95.33,220) .. (100,220) ; \draw (99,220) .. controls (99,224.67) and (101.33,227) .. (106,227) -- (197,227) .. controls (203.67,227) and (207,229.33) .. (207,234) .. controls (207,229.33) and (210.33,227) .. (217,227)(214,227) -- (308,227) .. controls (312.67,227) and (315,224.67) .. (315,220) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][line width=1.5] (130,112) -- (130,220) ; \draw [color={rgb, 255:red, 10; green, 61; blue, 121 } ,draw opacity=1 ][line width=1.5] (101,180) -- (316,180) ; % Text Node \draw (75,157) node [anchor=north west][inner sep=0.75pt] [align=left] {$b$}; % Text Node \draw (202,234) node [anchor=north west][inner sep=0.75pt] [align=left] {$a$}; % Text Node \draw (132,136.4) node [anchor=north west][inner sep=0.75pt] [color={rgb, 255:red, 208; green, 2; blue, 27 } ,opacity=1 ] {$A$}; % Text Node \draw (268,161.4) node [anchor=north west][inner sep=0.75pt] [color={rgb, 255:red, 12; green, 48; blue, 90 } ,opacity=1 ] {$B$}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[a4paper,12pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \usetikzlibrary{arrows.meta} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \draw (0:0.75cm) circle (0.25cm); \draw (72:0.75cm) circle (0.25cm); \draw (144:0.75cm) circle (0.25cm); \draw (216:0.75cm) circle (0.25cm); \draw (288:0.75cm) circle (0.25cm); \draw[-Latex] plot [smooth, tension=1] coordinates {(16:0.88cm) (36:0.95cm) (56:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(88:0.88cm) (108:0.95cm) (128:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(160:0.88cm) (180:0.95cm) (200:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(232:0.88cm) (252:0.95cm) (272:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(304:0.88cm) (324:0.95cm) (344:0.88cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(56:0.5cm) (36:0.4cm) (16:0.5cm)}; \draw[-Latex] plot [smooth, tension=1] coordinates {(288:0.5cm) (216:0.2cm) (144:0.5cm)}; \draw node at (0:0.75cm) {\small{$A_1$}}; \draw node at (72:0.75cm) {\small{$A_2$}}; \draw node at (144:0.75cm) {\small{$A_3$}}; \draw node at (216:0.75cm) {\small{$A_4$}}; \draw node at (288:0.75cm) {\small{$A_0$}}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[a4paper,12pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \usetikzlibrary{arrows.meta} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \foreach \m in {-10,-8,-6,-4,-2,0,2,4,6,8,10} % Grande table, disques \foreach \n in {-11,-9,-7,-5,-3,-1,1,3,5,7,9,11} \draw [fill = black, opacity=0.2] (\n,\m) circle (0.8) ; \foreach \m in {-11,-9,-7,-5,-3,-1,1,3,5,7,9,11} % Grande table, disques \foreach \n in {-10,-8,-6,-4,-2,0,2,4,6,8,10} \draw [fill = black, opacity=0.2] (\n,\m) circle (0.5) ; \fill [blue!100!] (1,0) circle (0.8) ; \fill [blue!100!] (2,1) circle (0.5) ; \fill [blue!80!] (-5,0) circle (0.8) ; \fill [blue!80!] (-4,1) circle (0.5) ; \fill [blue!60!] (7,6) circle (0.8) ; \fill [blue!60!] (8,7) circle (0.5) ; \draw (1,0) -- (-5,0) -- (7,6) -- (1,0) ; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[a4paper,12pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \usetikzlibrary{arrows.meta} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \foreach \m in {-10,-8,-6,-4,-2,0,2,4,6,8,10} % Grande table, disques \foreach \n in {-11,-9,-7,-5,-3,-1,1,3,5,7,9,11} \draw [fill = black, opacity=0.2] (\n,\m) circle (0.8) ; \foreach \m in {-11,-9,-7,-5,-3,-1,1,3,5,7,9,11} % Grande table, disques \foreach \n in {-10,-8,-6,-4,-2,0,2,4,6,8,10} \draw [fill = black, opacity=0.2] (\n,\m) circle (0.5) ; \fill [blue!100!] (1,0) circle (0.8) ; \fill [blue!100!] (2,1) circle (0.5) ; \fill [blue!80!] (-7,0) circle (0.8) ; \fill [blue!80!] (-6,1) circle (0.5) ; \fill [blue!60!] (9,8) circle (0.8) ; \fill [blue!60!] (10,9) circle (0.5) ; \draw (1,0) -- (-7,0) -- (9,8) -- (1,0) ; \end{tikzpicture} \end{CJK} \end{document}
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\documentclass[a4paper,12pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \usetikzlibrary{arrows.meta} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \foreach \m in {-10,-8,-6,-4,-2,0,2,4,6,8,10} % Grande table, disques \foreach \n in {-11,-9,-7,-5,-3,-1,1,3,5,7,9,11} \draw [fill = black, opacity=0.2] (\n,\m) circle (0.8) ; \foreach \m in {-11,-9,-7,-5,-3,-1,1,3,5,7,9,11} % Grande table, disques \foreach \n in {-10,-8,-6,-4,-2,0,2,4,6,8,10} \draw [fill = black, opacity=0.2] (\n,\m) circle (0.5) ; \fill [blue!100!] (1,0) circle (0.8) ; \fill [blue!100!] (2,1) circle (0.5) ; \fill [blue!80!] (-1,0) circle (0.8) ; \fill [blue!80!] (0,1) circle (0.5) ; \fill [blue!60!] (3,2) circle (0.8) ; \fill [blue!60!] (4,3) circle (0.5) ; \draw (1,0) -- (-1,0) -- (3,2) -- (1,0) ; \end{tikzpicture} \end{CJK} \end{document}
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\documentclass[a4paper,12pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{color} \usepackage{tikz} \usetikzlibrary{arrows.meta} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \foreach \m in {-10,-8,-6,-4,-2,0,2,4,6,8,10} % Grande table, disques \foreach \n in {-11,-9,-7,-5,-3,-1,1,3,5,7,9,11} \draw [fill = black, opacity=0.2] (\n,\m) circle (0.8) ; \foreach \m in {-11,-9,-7,-5,-3,-1,1,3,5,7,9,11} % Grande table, disques \foreach \n in {-10,-8,-6,-4,-2,0,2,4,6,8,10} \draw [fill = black, opacity=0.2] (\n,\m) circle (0.5) ; \fill [blue!100!] (1,0) circle (0.8) ; \fill [blue!100!] (2,1) circle (0.5) ; \fill [blue!80!] (-3,0) circle (0.8) ; \fill [blue!80!] (-2,1) circle (0.5) ; \fill [blue!60!] (5,4) circle (0.8) ; \fill [blue!60!] (6,5) circle (0.5) ; \draw (1,0) -- (-3,0) -- (5,4) -- (1,0) ; \end{tikzpicture} \end{CJK} \end{document}
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\documentclass[a4paper,11pt]{article} \usepackage{amsmath,amssymb,amsfonts,amsthm} \usepackage{tikz-cd} \usepackage{tikz} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[x=0.55pt,y=0.55pt,yscale=-1,xscale=1] \draw (316,174) -- (341.5,156) ; \draw (316,185) -- (339.5,198) ; \draw (340.5,150) .. controls (340.5,142.82) and (346.32,137) .. (353.5,137) .. controls (360.68,137) and (366.5,142.82) .. (366.5,150) .. controls (366.5,157.18) and (360.68,163) .. (353.5,163) .. controls (346.32,163) and (340.5,157.18) .. (340.5,150) -- cycle ; \draw (339.5,198) .. controls (339.5,190.89) and (345.26,185.13) .. (352.38,185.13) .. controls (359.49,185.13) and (365.25,190.89) .. (365.25,198) .. controls (365.25,205.11) and (359.49,210.88) .. (352.38,210.88) .. controls (345.26,210.88) and (339.5,205.11) .. (339.5,198) -- cycle ; % Text Node \draw (302,169) node [anchor=north west][inner sep=0.75pt] [align=left] {T}; % Text Node \draw (347,140) node [anchor=north west][inner sep=0.75pt] [align=left] {1}; % Text Node \draw (347,188) node [anchor=north west][inner sep=0.75pt] [align=left] {1}; % Text Node \end{tikzpicture} \end{CJK} \end{document}
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\documentclass[a4paper,11pt]{article} \usepackage{amsmath,amssymb,amsfonts,amsthm} \usepackage{tikz-cd} \usepackage{tikz} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[x=0.45pt,y=0.45pt,yscale=-1,xscale=1] \draw (250,133.92) .. controls (250,89.19) and (286.26,52.92) .. (331,52.92) .. controls (375.74,52.92) and (412,89.19) .. (412,133.92) .. controls (412,178.66) and (375.74,214.92) .. (331,214.92) .. controls (286.26,214.92) and (250,178.66) .. (250,133.92) -- cycle ; \draw (365,139.96) .. controls (365,136.67) and (367.46,134) .. (370.5,134) .. controls (373.54,134) and (376,136.67) .. (376,139.96) .. controls (376,143.25) and (373.54,145.92) .. (370.5,145.92) .. controls (367.46,145.92) and (365,143.25) .. (365,139.96) -- cycle ; \draw (366.61,135.75) -- (374.39,144.18) ; \draw (374.39,135.75) -- (366.61,144.18) ; \draw (295,139.96) .. controls (295,136.67) and (297.46,134) .. (300.5,134) .. controls (303.54,134) and (306,136.67) .. (306,139.96) .. controls (306,143.25) and (303.54,145.92) .. (300.5,145.92) .. controls (297.46,145.92) and (295,143.25) .. (295,139.96) -- cycle ; \draw (296.61,135.75) -- (304.39,144.18) ; \draw (304.39,135.75) -- (296.61,144.18) ; \draw (325,72.96) .. controls (325,69.67) and (327.46,67) .. (330.5,67) .. controls (333.54,67) and (336,69.67) .. (336,72.96) .. controls (336,76.25) and (333.54,78.92) .. (330.5,78.92) .. controls (327.46,78.92) and (325,76.25) .. (325,72.96) -- cycle ; \draw (326.61,68.75) -- (334.39,77.18) ; \draw (334.39,68.75) -- (326.61,77.18) ; % Text Node \draw (437,133) node [xslant=-0.06] [align=left] {$u$}; % Text Node \draw (290,159) node {$\Lambda $}; % Text Node \draw (380,159) node {$-\Lambda $}; % Text Node \draw (352,72) node {$\infty $}; \end{tikzpicture} \end{CJK} \end{document}
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\documentclass[a4paper,11pt]{article} \usepackage{amsmath,amssymb,amsfonts,amsthm} \usepackage{tikz-cd} \usepackage{tikz} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[x=0.35pt,y=0.35pt,yscale=-1,xscale=1] \draw (242.5,178.75) .. controls (242.5,168.39) and (250.89,160) .. (261.25,160) .. controls (271.61,160) and (280,168.39) .. (280,178.75) .. controls (280,189.11) and (271.61,197.5) .. (261.25,197.5) .. controls (250.89,197.5) and (242.5,189.11) .. (242.5,178.75) -- cycle ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ] (380,180) .. controls (380,168.95) and (388.39,160) .. (398.75,160) .. controls (409.11,160) and (417.5,168.95) .. (417.5,180) .. controls (417.5,191.05) and (409.11,200) .. (398.75,200) .. controls (388.39,200) and (380,191.05) .. (380,180) -- cycle ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ] (380,180) -- (417.5,180) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ] (398.75,160) -- (398.75,200) ; \draw (320,160) -- (360,160) -- (360,200) -- (320,200) -- cycle ; \draw (280,180) -- (320,180) ; \draw (440,178.75) .. controls (440,168.39) and (448.39,160) .. (458.75,160) .. controls (469.11,160) and (477.5,168.39) .. (477.5,178.75) .. controls (477.5,189.11) and (469.11,197.5) .. (458.75,197.5) .. controls (448.39,197.5) and (440,189.11) .. (440,178.75) -- cycle ; \draw (517.5,160) -- (557.5,160) -- (557.5,200) -- (517.5,200) -- cycle ; \draw (477.5,180) -- (517.5,180) ; % Text Node \draw (255,169) node [anchor=north west][inner sep=0.75pt] [font=\large] [align=left] {1}; % Text Node \draw (336,168) node [anchor=north west][inner sep=0.75pt] [font=\large] [align=left] {1}; % Text Node \draw (452.5,169) node [anchor=north west][inner sep=0.75pt] [font=\large] [align=left] {1}; % Text Node \draw (533.5,168) node [anchor=north west][inner sep=0.75pt] [font=\large] [align=left] {1}; \end{tikzpicture} \end{CJK} \end{document}
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\documentclass{article} \usepackage{latexsym, amssymb, amsmath, amscd, amsthm, verbatim, a4, mathdots} \usepackage{amsfonts,cmmib57,color,graphics,bm} \usepackage[latin1]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{arrows,matrix,positioning} \usepackage{colortbl} \newcommand{\cL}{{\cal L}} \newcommand{\la}{\ensuremath{\lambda}} \begin{document} \begin{tikzpicture} \node at (0,0) {$\begin{array}{cc@{\hspace{5mm}}l@{\hspace{5mm}}lll} \cL_0 & = & \;[\, a_1, & \;a_2, & \dotsc & \;\;,a_n ] \\ \cL_1 & = & [\, a_{n+1}, & a_{n+2}, & \dotsc & \;\,,a_{2n}\,] \\ & \vdots & & & & \\ \cL_j & = & \![\, a_{jn + 1}, & a_{jn + 2}, & \dotsc & \,,a_{jn + n} \,] \\ & \vdots & & & & \\ \cL_q & = & \![\, a_{qn+1}, & a_{qn+2}, & \dotsc & ,a_{qn+n}\,] \end{array}$}; \draw[blue,thick] (-1.2,-0.2) ellipse (0.65cm and 2.6cm); \node at (-1.2,-2) {$\color{red}v_1(\la)$}; \draw[blue,thick] (0.3,-0.2) ellipse (0.65cm and 2.6cm); \node at (0.3,-2) {$\color{red}v_2(\la)$}; \node at (1.325,-2) {$\dotsc$}; \draw[blue,thick] (2.55,-0.2) ellipse (0.8cm and 2.6cm); \node at (2.6,-2) {$\color{red}v_n(\la)$}; \end{tikzpicture} \end{document}
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\documentclass[a4paper,11pt]{article} \usepackage{amsmath,amssymb,amsfonts,amsthm} \usepackage{tikz-cd} \usepackage{tikz} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[x=0.45pt,y=0.45pt,yscale=-1,xscale=1] \draw (298,235) .. controls (338,205) and (456,320) .. (496,290) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ] (335,295) .. controls (375,265) and (365,155) .. (405,125) ; \draw [fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ] (366,215) .. controls (366,213.34) and (367.34,212) .. (369,212) .. controls (370.66,212) and (372,213.34) .. (372,215) .. controls (372,216.66) and (370.66,218) .. (369,218) .. controls (367.34,218) and (366,216.66) .. (366,215) -- cycle ; \draw [color={rgb, 255:red, 80; green, 227; blue, 194 } ,draw opacity=1 ] (295,202) .. controls (335,172) and (453,287) .. (493,257) ; % Text Node \draw (473,274.4) node [anchor=north west][inner sep=0.75pt] {$a$}; % Text Node \draw (380,131.4) node [anchor=north west][inner sep=0.75pt] {$t$}; % Text Node \draw (375,196.4) node [anchor=north west][inner sep=0.75pt] {$( 0,t_0)$}; \end{tikzpicture} \end{CJK} \end{document}
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\documentclass[a4paper,11pt]{article} \usepackage{amsmath,amssymb,amsfonts,amsthm} \usepackage{tikz-cd} \usepackage{tikz} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[x=0.45pt,y=0.45pt,yscale=-1,xscale=1] \draw (290,300.1) -- (580,300.1)(319,85) -- (319,324) (573,295.1) -- (580,300.1) -- (573,305.1) (314,92) -- (319,85) -- (324,92) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ] (318.75,260.75) -- (359.25,260.75) ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ] (360.75,260.75) -- (418.5,299.75) ; \draw [fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ] (358,260.75) .. controls (358,259.23) and (359.23,258) .. (360.75,258) .. controls (362.27,258) and (363.5,259.23) .. (363.5,260.75) .. controls (363.5,262.27) and (362.27,263.5) .. (360.75,263.5) .. controls (359.23,263.5) and (358,262.27) .. (358,260.75) -- cycle ; \draw [fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ] (378,280.75) .. controls (378,279.23) and (379.23,278) .. (380.75,278) .. controls (382.27,278) and (383.5,279.23) .. (383.5,280.75) .. controls (383.5,282.27) and (382.27,283.5) .. (380.75,283.5) .. controls (379.23,283.5) and (378,282.27) .. (378,280.75) -- cycle ; \draw [fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ] (339,260.75) .. controls (339,259.23) and (340.23,258) .. (341.75,258) .. controls (343.27,258) and (344.5,259.23) .. (344.5,260.75) .. controls (344.5,262.27) and (343.27,263.5) .. (341.75,263.5) .. controls (340.23,263.5) and (339,262.27) .. (339,260.75) -- cycle ; \draw [fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ] (359,280.75) .. controls (359,279.23) and (360.23,278) .. (361.75,278) .. controls (363.27,278) and (364.5,279.23) .. (364.5,280.75) .. controls (364.5,282.27) and (363.27,283.5) .. (361.75,283.5) .. controls (360.23,283.5) and (359,282.27) .. (359,280.75) -- cycle ; \draw [fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ] (340,279.75) .. controls (340,278.23) and (341.23,277) .. (342.75,277) .. controls (344.27,277) and (345.5,278.23) .. (345.5,279.75) .. controls (345.5,281.27) and (344.27,282.5) .. (342.75,282.5) .. controls (341.23,282.5) and (340,281.27) .. (340,279.75) -- cycle ; \draw (390,265) .. controls (429.6,235.3) and (452.05,263.43) .. (491.31,234.88) ; \draw [shift={(492.5,234)}, rotate = 503.13] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; % Text Node \draw (304,240) node [anchor=north west][inner sep=0.75pt] [align=left] {1}; % Text Node \draw (359,236.4) node [anchor=north west][inner sep=0.75pt] {$2$}; % Text Node \draw (425.5,279.15) node [anchor=north west][inner sep=0.75pt] {$3$}; % Text Node \draw (503,215.4) node [anchor=north west][inner sep=0.75pt] {$\Gamma ( f)$}; \end{tikzpicture} \end{CJK} \end{document}
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\documentclass{article} \usepackage{latexsym, amssymb, amsmath, amscd, amsthm, verbatim, a4, mathdots} \usepackage{amsfonts,cmmib57,color,graphics,bm} \usepackage[latin1]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{arrows,matrix,positioning} \usepackage{colortbl} \newcommand{\cL}{{\cal L}} \begin{document} \begin{tikzpicture} \node at (0,0) {$\begin{array}{cclllllll} & \vdots & & & & & & & \\ \cL_{\alpha} & = & \{a_{\alpha n+1} \,, & \dotsc & \,, \boxed{\color{green}a_{\alpha n+i}} \,, & \color{green}\dotsc & ,\,\color{green}a_{\alpha n+ \ell} \,, & \color{green}\dotsc & ,\;\color{green}a_{\alpha n+n}\} \\ \cL_{\alpha + 1} & = & \{\color{green}a_{(\alpha+1) n+1}, & \color{green}\dotsc & \,,\,\color{green}a_{(\alpha+1) n+i} , & \color{green}\dotsc & ,\color{green}a_{(\alpha+1) n+ \ell} , & \color{green}\dotsc & ,\;\color{green}a_{(\alpha+1) n+n}\} \\ & \vdots & & & & & & & \\ \cL_{\beta} & = & \{\color{green}a_{\beta n+1} \,, & \color{green}\dotsc & \,,\,\color{green}a_{\beta n+i} \,, & \color{green}\dotsc & ,\boxed{\color{green}a_{\beta n+ \ell}} \,, & \dotsc & ,\;a_{\beta n+n}\} \\ & \vdots & & & & & & & \\ \end{array}$}; \draw[blue,thick] (-3.6,0) ellipse (0.95cm and 2.5cm); \node at (-3.6,-2) {$\color{red}v_1$}; \node at (-2.05,-2) {$\dotsc$}; \draw[blue,thick] (-0.65,0) ellipse (0.95cm and 2.5cm); \node at (-0.65,-2) {$\color{red}v_i$}; \node at (0.7,-2) {$\dotsc$}; \draw[blue,thick] (2.2,0) ellipse (0.95cm and 2.5cm); \node at (2.2,-2) {$\color{red}v_{\ell}$}; \node at (3.4,-2) {$\dotsc$}; \draw[blue,thick] (5.1,0) ellipse (0.95cm and 2.5cm); \node at (5.1,-2) {$\color{red}v_n$}; \end{tikzpicture} \end{document}
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\documentclass{article} \usepackage{latexsym, amssymb, amsmath, amscd, amsthm, verbatim, a4, mathdots} \usepackage{amsfonts,cmmib57,color,graphics,bm} \usepackage[latin1]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{arrows,matrix,positioning} \usepackage{colortbl} \begin{document} \begin{tikzpicture} \draw (-0.5,0) -- (-0.5,5); \draw (-0.7,0) -- (-0.5,0); \node at (-1,0) {0}; \draw (-0.7,0.5) -- (-0.5,0.5); \node at (-1,0.5) {1}; \draw (-0.7,1) -- (-0.5,1); \node at (-1,1) {2}; \draw (-0.7,1.5) -- (-0.5,1.5); \node at (-1,1.5) {3}; \draw (-0.7,2) -- (-0.5,2); \node at (-1,2) {4}; \draw (-0.7,2.5) -- (-0.5,2.5); \node at (-1,2.5) {5}; \draw (-0.7,3) -- (-0.5,3); \node at (-1,3) {6}; \draw (-0.7,3.5) -- (-0.5,3.5); \node at (-1,3.5) {7}; \draw (-0.7,4) -- (-0.5,4); \node at (-1,4) {8}; \draw (-0.7,4.5) -- (-0.5,4.5); \node at (-1,4.5) {9}; \draw (-0.7,5) -- (-0.5,5); \node at (-1,5) {10}; \fill[magenta] (0,0) rectangle (16,1.5); \fill[magenta] (14,1.5) rectangle (16,3); \fill[cyan] (0,1.5) rectangle (14,3.5); \fill[cyan] (10,3.5) rectangle (16,4.5); \fill[cyan] (14,3) rectangle (16,5); \draw (0,0) -- (16,0); \draw (0,1.5) -- (16,1.5); \draw (0,2.5) -- (14,2.5); \draw (14,3) -- (16,3); \draw (0,3.5) -- (14,3.5); \draw (14,4) -- (16,4); \draw (10,4.5) -- (14,4.5); \draw[thick,dashed,red] (0,5) -- (14,5); \draw[thick,red] (14,5) -- (16,5); \draw (0,0) -- (0,3.5); \draw[dashed] (0,3.5) -- (0,5); \draw (2,0) -- (2,3.5); \draw[dashed] (2,3.5) -- (2,5); \draw (4,0) -- (4,3.5); \draw[dashed] (4,3.5) -- (4,5); \draw (6,0) -- (6,3.5); \draw[dashed] (6,3.5) -- (6,5); \draw (8,0) -- (8,3.5); \draw[dashed] (8,3.5) -- (8,5); \draw (10,0) -- (10,4.5); \draw[dashed] (10,4.5) -- (10,5); \draw (12,0) -- (12,4.5); \draw[dashed] (12,4.5) -- (12,5); \draw (14,0) -- (14,5); \draw (16,0) -- (16,5); \end{tikzpicture} \end{document}
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\documentclass{article} \usepackage{latexsym, amssymb, amsmath, amscd, amsthm, verbatim, a4, mathdots} \usepackage{amsfonts,cmmib57,color,graphics,bm} \usepackage[latin1]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{arrows,matrix,positioning} \usepackage{colortbl} \newcommand{\cL}{{\cal L}} \begin{document} \begin{tikzpicture} \node at (0,0) {$\begin{array}{cclllllll} & \vdots & & & & & & & \\ \cL_{\alpha} & = & \{a_{\alpha n+1}, & \dotsc & ,\color{cyan}a_{\alpha n+i} & \color{green}\dotsc & ,\color{green}a_{\alpha n+j} & \color{green}\dotsc & ,\color{green}a_{\alpha n+n}\} \\ \cL_{\alpha+ 1} & = & \{\color{green}a_{(\alpha+1) n+1}, & \color{green}\dotsc & ,\color{green}a_{(\alpha+1) n+i} & \color{green}\dotsc & ,\color{green}a_{(\alpha+1) n+j} & \color{green}\dotsc & ,\color{green}a_{(\alpha+1) n+n}\} \\ & \vdots & & & & & & & \\ \cL_{\beta} & = & \{\color{green}a_{\beta n+1}, & \color{green}\dotsc & ,\color{green}a_{\beta n+i} & \color{green}\dotsc & ,\color{cyan}a_{\beta n+j} & \dotsc & ,a_{\beta n+n}\} \\ & \vdots & & & & & & & \\ \end{array}$}; \draw[blue,thick] (-3.6,0) ellipse (0.85cm and 2.5cm); \node at (-3.7,-2) {$\color{red}v_1$}; \node at (-2.05,-2) {$\dotsc$}; \draw[blue,thick] (-0.8,0) ellipse (0.85cm and 2.5cm); \node at (-0.8,-2) {$\color{red}v_i$}; \node at (0.7,-2) {$\dotsc$}; \draw[blue,thick] (2,0) ellipse (0.85cm and 2.5cm); \node at (2,-2) {$\color{red}v_j$}; \node at (3.4,-2) {$\dotsc$}; \draw[blue,thick] (4.8,0) ellipse (0.85cm and 2.5cm); \node at (4.8,-2) {$\color{red}v_n$}; \end{tikzpicture} \end{document}
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\documentclass{article} \usepackage{latexsym, amssymb, amsmath, amscd, amsthm, verbatim, a4, mathdots} \usepackage{amsfonts,cmmib57,color,graphics,bm} \usepackage[latin1]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{arrows,matrix,positioning} \usepackage{colortbl} \begin{document} \begin{tikzpicture} \draw (-0.5,0) -- (-0.5,5); \draw (-0.7,0) -- (-0.5,0); \node at (-1,0) {0}; \draw (-0.7,0.5) -- (-0.5,0.5); \node at (-1,0.5) {1}; \draw (-0.7,1) -- (-0.5,1); \node at (-1,1) {2}; \draw (-0.7,1.5) -- (-0.5,1.5); \node at (-1,1.5) {3}; \draw (-0.7,2) -- (-0.5,2); \node at (-1,2) {4}; \draw (-0.7,2.5) -- (-0.5,2.5); \node at (-1,2.5) {5}; \draw (-0.7,3) -- (-0.5,3); \node at (-1,3) {6}; \draw (-0.7,3.5) -- (-0.5,3.5); \node at (-1,3.5) {7}; \draw (-0.7,4) -- (-0.5,4); \node at (-1,4) {8}; \draw (-0.7,4.5) -- (-0.5,4.5); \node at (-1,4.5) {9}; \draw (-0.7,5) -- (-0.5,5); \node at (-1,5) {10}; \fill[magenta] (0,0) rectangle (16,1.5); \fill[magenta] (14,1.5) rectangle (16,3); \fill[cyan] (0,1.5) rectangle (14,3.5); \fill[cyan] (8,3.5) rectangle (14,4.5); \fill[cyan] (14,3) rectangle (16,4); \draw (0,0) -- (16,0); \draw (0,1.5) -- (16,1.5); \draw (0,2.5) -- (14,2.5); \draw (14,3) -- (16,3); \draw (0,3.5) -- (14,3.5); \draw (14,4) -- (16,4); \draw (8,4.5) -- (14,4.5); \draw[thick,dashed,red] (0,5) -- (16,5); \draw (0,0) -- (0,3.5); \draw[dashed] (0,3.5) -- (0,5); \draw (2,0) -- (2,3.5); \draw[dashed] (2,3.5) -- (2,5); \draw (4,0) -- (4,3.5); \draw[dashed] (4,3.5) -- (4,5); \draw (6,0) -- (6,3.5); \draw[dashed] (6,3.5) -- (6,5); \draw (8,0) -- (8,4.5); \draw[dashed] (8,4.5) -- (8,5); \draw (10,0) -- (10,4.5); \draw[dashed] (10,4.5) -- (10,5); \draw (12,0) -- (12,4.5); \draw[dashed] (12,4.5) -- (12,5); \draw (14,0) -- (14,4.5); \draw[dashed] (14,4.5) -- (14,5); \draw (16,0) -- (16,4); \draw[dashed] (16,4) -- (16,5); \end{tikzpicture} \end{document}
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\documentclass{article} \usepackage{latexsym, amssymb, amsmath, amscd, amsthm, verbatim, a4, mathdots} \usepackage{amsfonts,cmmib57,color,graphics,bm} \usepackage[latin1]{inputenc} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{arrows,matrix,positioning} \usepackage{colortbl} \begin{document} \begin{tikzpicture} \draw (-0.5,0) -- (-0.5,3.5); \draw (-0.7,0) -- (-0.5,0); \node at (-1,0) {0}; \draw (-0.7,0.5) -- (-0.5,0.5); \node at (-1,0.5) {1}; \draw (-0.7,1) -- (-0.5,1); \node at (-1,1) {2}; \draw (-0.7,1.5) -- (-0.5,1.5); \node at (-1,1.5) {3}; \draw (-0.7,2) -- (-0.5,2); \node at (-1,2) {4}; \draw (-0.7,2.5) -- (-0.5,2.5); \node at (-1,2.5) {5}; \draw (-0.7,3) -- (-0.5,3); \node at (-1,3) {6}; \draw (-0.7,3.5) -- (-0.5,3.5); \node at (-1,3.5) {7}; \fill[cyan] (0,0) rectangle (16,2); \fill[cyan] (10,2) rectangle (16,3); \draw (0,0) -- (16,0); \draw (0,1) -- (16,1); \draw (0,2) -- (16,2); \draw (10,3) -- (16,3); \draw[thick,dashed,red] (0,3.5) -- (16,3.5); \draw (0,0) -- (0,2); \draw[dashed] (0,2) -- (0,3.5); \draw (2,0) -- (2,2); \draw[dashed] (2,2) -- (2,3.5); \draw (4,0) -- (4,2); \draw[dashed] (4,2) -- (4,3.5); \draw (6,0) -- (6,2); \draw[dashed] (6,2) -- (6,3.5); \draw (8,0) -- (8,2); \draw[dashed] (8,2) -- (8,3.5); \draw (10,0) -- (10,3); \draw[dashed] (10,3) -- (10,3.5); \draw (12,0) -- (12,3); \draw[dashed] (12,3) -- (12,3.5); \draw (14,0) -- (14,3); \draw[dashed] (14,3) -- (14,3.5); \draw (16,0) -- (16,3); \draw[dashed] (16,3) -- (16,3.5); \end{tikzpicture} \end{document}
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\documentclass[11pt]{article} \usepackage{amsmath,amssymb,amsfonts,amsthm} \usepackage{tikz} \usetikzlibrary{automata} \usetikzlibrary{arrows} \usetikzlibrary{positioning,calc} \usetikzlibrary{graphs} \usetikzlibrary{graphs.standard} \usetikzlibrary{arrows,decorations.markings} \usepackage{tkz-graph} \usetikzlibrary{chains,fit,shapes} \usetikzlibrary{calc} \tikzset{every loop/.style={min distance=10mm,looseness=10}} \tikzset{every state/.style={minimum size=2mm}} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=0.3] \draw (6,6) node [scale=0.5, circle, draw](node1){1}; \draw (8,3) node [scale=0.5, circle, draw](node2){2}; \draw (6,0) node [scale=0.5, circle, draw](node3){3}; \draw (4,3) node [scale=0.5, circle, draw](node4){4}; \draw (0,6) node [scale=0.5, circle, draw](node5){$a$}; \draw (0,3) node [scale=0.5, circle, draw](node6){$b$}; \draw (0,0)node [scale=0.5, circle, draw](node7){$c$}; \draw (node1)--(node2)--(node3)--(node4)--(node1); \draw (node1)--(node3); \draw (node2)--(node4); \draw (node1)--(node5); \draw (node1)--(node6); \draw (node3)--(node6); \draw (node3)--(node7); \draw (node2)--(node5); \draw (node2)--(node7); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass{article} \usepackage{amsmath,amsfonts,amssymb,amsthm} \usepackage{graphicx,xcolor} \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{calc} \usetikzlibrary{fit} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \matrix (m) [ matrix of nodes, row sep=0.4cm, column sep=1cm, every node/.style={text width=4.2cm, text depth=0.5cm}, every node/.append code={ \ifnum\pgfmatrixcurrentrow=1\relax \pgfkeysalso{align=center} \else \pgfkeysalso{align=center,draw} \fi } ]{ {$\nu\phantom{'}=\nu'$} \\ $V_{\mu^{(1)}\cdots\mu^{(N)}}^\nu=V_{\mu^{(1)}\cdots\mu^{(N)}}^{\nu'}$ \\ $V_{\mu^{(1)\prime}\cdots\mu^{(N)\prime}}^\nu=V_{\mu^{(1)\prime}\cdots\mu^{(N)\prime}}^{\nu'}$ \\ }; \draw[->] (m-2-1) -- (m-3-1); \draw[->] (m-3-1) -- (m-2-1); \node[rectangle,draw,fit=(m-1-1)(m-3-1)]{}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[11pt]{article} \usepackage{amsmath,amssymb,amsfonts,amsthm} \usepackage{tikz} \usetikzlibrary{automata} \usetikzlibrary{arrows} \usetikzlibrary{positioning,calc} \usetikzlibrary{graphs} \usetikzlibrary{graphs.standard} \usetikzlibrary{arrows,decorations.markings} \usepackage{tkz-graph} \usetikzlibrary{chains,fit,shapes} \usetikzlibrary{calc} \tikzset{every loop/.style={min distance=10mm,looseness=10}} \tikzset{every state/.style={minimum size=2mm}} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=0.3] \draw (6,6) node [scale=0.5, circle, draw](node1){1}; \draw (8,3) node [scale=0.5, circle, draw](node2){2}; \draw (6,0) node [scale=0.5, circle, draw](node3){3}; \draw (4,3) node [scale=0.5, circle, draw](node4){4}; \draw (0,6) node [scale=0.5, circle, draw](node5){$a$}; \draw (0,3) node [scale=0.5, circle, draw](node6){$b$}; \draw (0,0)node [scale=0.5, circle, draw](node7){$c$}; \draw (node1)--(node2)--(node3)--(node4)--(node1); \draw (node1)--(node3); \draw (node2)--(node4); \draw (node1)--(node5); \draw (node1)--(node6); \draw (node3)--(node6); \draw (node3)--(node7); \draw (node2)--(node5); \draw (node2)--(node7); \draw (node4)--(node7); \draw (node4)--(node5); \draw (node4)--(node6); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[twoside,10pt]{article} \usepackage{tikz} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=0.8] \path (1,0)--(-1,0) ; \draw[-<][thick](-4,0)--(-3,0)node[below left]{$+$}; \draw[-][thick](-4,0)--(-3,0)node[above left]{$-$}; \draw[-][thick](-3,0)--(-2,0); \draw[-][thick](-2,0)--(-1,0)node[below left]{$-z_{0}$}; \draw[fill] (-1.5,0) circle [radius=0.05]; \draw[->][thick](-1,0)--(0,0)node[below left]{$-$}; \draw[->][thick](-1,0)--(0,0)node[above left]{$+$}; \draw[-][thick](0,0)--(1,0)node[below left]{$z_{0}$}; \draw[fill] (0.6,0) circle [radius=0.05]; \draw[-][thick](1,0)--(2,0); \draw[-<][thick](2,0)--(3,0)node[below left]{$+$}; \draw[-][thick](2,0)--(3,0)node[above left]{$-$}; \draw[-][thick](3,0)--(4,0)[thick]node[right]{$\mathbb{R}$}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass{article} \usepackage{amsmath,amsfonts,amssymb,amsthm} \usepackage{graphicx,xcolor} \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{calc} \usetikzlibrary{fit} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \matrix (m) [ matrix of nodes, row sep=0.4cm, column sep=1cm, every node/.style={text width=2cm, text depth=0.5cm}, every node/.append code={ \ifnum\pgfmatrixcurrentrow=1\relax \pgfkeysalso{align=center} \else \pgfkeysalso{align=center,draw} \fi } ]{ {$\nu\phantom{'}$} & {$\nu'$} \\ $V_{\mu^{(1)}\cdots\mu^{(N)}}^\nu\phantom{'}$ & $V_{\mu^{(1)}\cdots\mu^{(N)}}^{\nu'}$ \\ $V_{\mu^{(1)\prime}\cdots\mu^{(N)\prime}}^\nu\phantom{'}$ & $V_{\mu^{(1)\prime}\cdots\mu^{(N)\prime}}^{\nu'}$ \\ }; \draw[->] (m-2-1) -- (m-3-2); \draw[->] (m-3-1) -- (m-2-2); \node[rectangle,draw,fit=(m-1-1)(m-3-1)]{}; \node[rectangle,draw,fit=(m-1-2)(m-3-2)]{}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[twoside,10pt]{article} \usepackage{tikz} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=0.6] \draw[-][thick](2,0)--(2.5,-0.5); \draw[<-][thick](2.5,-0.5)--(5,-3); \draw[-][thick](2,0)--(2.5,0.5); \draw[<-][thick](2.5,0.5)--(5,3); \draw[-][thick](0,2); \draw[->][thick](1,1)--(1.5,0.5); \draw[-][thick](1.5,0.5)--(2,0); \draw[fill] (2.5,-0.4) node[below left]{${z_0}$}; \draw[-][thick](1.5,-0.5)--(2,0); \draw[->][thick](1,-1)--(1.5,-0.5); \draw[-][thick](-5,-3)--(-2.5,-0.5); \draw[<-][thick](-2.5,-0.5)--(-2,0); \draw[fill] (-1.5,-0.4) node[below left]{-${z_0}$}; \draw[-][thick](-5,3)--(-2.5,0.5); \draw[<-][thick](-2.5,0.5)--(-2,0); \draw[->][thick](-2,0)--(-1.5,0.5); \draw[-][thick](-1.5,0.5)--(-1,1); \draw[->][thick](-2,0)--(-1.5,-0.5); \draw[-][thick](-1.5,-0.5)--(-1,-1); \draw[fill] (2,-2) node{${\Sigma}{_B^{(3)}}$}; \draw[fill] (-2,-2) node{${\Sigma}{_A^{(3)}}$}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass{article} \usepackage{amsmath,amsfonts,amssymb,amsthm} \usepackage{graphicx,xcolor} \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{calc} \usetikzlibrary{fit} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \matrix (m) [ matrix of nodes, row sep=0.4cm, column sep=1cm, every node/.style={text width=4cm, text depth=0.5cm}, every node/.append code={ \ifnum\pgfmatrixcurrentrow=1\relax \pgfkeysalso{align=center} \else \pgfkeysalso{align=center,draw} \fi } ]{ {$\nu\phantom{'}=\nu'$} \\ $V_{\mu^{(1)}\cdots\mu^{(N)}}^\nu=V_{\mu^{(1)\prime}\cdots\mu^{(N)\prime}}^{\nu'}$ \\ |[draw=none]| \\ }; \draw [->] (m-2-1.south)arc(-160:160:1.65); \node[rectangle,draw,fit=(m-1-1)(m-3-1)]{}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[11pt]{article} \usepackage{amsmath,amssymb,amsfonts,amsthm} \usepackage{tikz} \usetikzlibrary{automata} \usetikzlibrary{arrows} \usetikzlibrary{positioning,calc} \usetikzlibrary{graphs} \usetikzlibrary{graphs.standard} \usetikzlibrary{arrows,decorations.markings} \usepackage{tkz-graph} \usetikzlibrary{chains,fit,shapes} \usetikzlibrary{calc} \tikzset{every loop/.style={min distance=10mm,looseness=10}} \tikzset{every state/.style={minimum size=2mm}} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=0.3] \draw (6,6) node [scale=0.5, circle, draw](node1){1}; \draw (8,3) node [scale=0.5, circle, draw](node2){2}; \draw (6,0) node [scale=0.5, circle, draw](node3){3}; \draw (4,3) node [scale=0.5, circle, draw](node4){4}; \draw (0,6) node [scale=0.5, circle, draw](node5){$a$}; \draw (0,3) node [scale=0.5, circle, draw](node6){$b$}; \draw (0,0)node [scale=0.5, circle, draw](node7){$c$}; \draw (node1)--(node2)--(node3)--(node4)--(node1); \draw (node1)--(node3); \draw (node2)--(node4); \draw (node1)--(node5); \draw (node3)--(node7); \draw [bend right=30] (node2) to (node6); \draw (node4)--(node7); \draw (node4)--(node5); \draw (node4)--(node6); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass{article} \usepackage{amsmath,amsfonts,amssymb,amsthm} \usepackage{graphicx,xcolor} \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{calc} \usetikzlibrary{fit} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \matrix (m) [ matrix of nodes, row sep=0.4cm, column sep=1cm, every node/.style={text width=4cm, text depth=0.5cm}, every node/.append code={ \ifnum\pgfmatrixcurrentrow=1\relax \pgfkeysalso{align=center} \else \pgfkeysalso{align=center,draw} \fi } ]{ {$\nu\phantom{'}$} & {$\nu'$} \\ $V_{\mu^{(1)}\cdots\mu^{(N)}}^\nu=V_{\mu^{(1)\prime}\cdots\mu^{(N)\prime}}^\nu$ & $V_{\mu^{(1)}\cdots\mu^{(N)}}^{\nu'}=V_{\mu^{(1)\prime}\cdots\mu^{(N)\prime}}^{\nu'}$ \\ |[draw=none]| & |[draw=none]| \\ }; \draw[->] (m-2-1) -- (m-2-2); \node[rectangle,draw,fit=(m-1-1)(m-3-1)]{}; \node[rectangle,draw,fit=(m-1-2)(m-3-2)]{}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[twoside,10pt]{article} \usepackage{tikz} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=0.6] \draw[-<][thick](2,0)--(4,-2); \draw[-<][thick](2,0)--(4,2); \draw[-][thick](0,2)[thick]node[above]{$\Omega_{1}$}--(5,-3); \draw[->][thick](0,2)--(1,1); \draw[->][thick](0,-2)[thick]node[below]{$\Omega_{2}$}--(1,-1); \draw[-<][thick](-5,-3)--(-4,-2); \draw[-<][thick](-5,3)--(-4,2); \draw[->][thick](-2,0)--(-1,1); \draw[->][thick](-2,0)--(-1,-1); \draw[-][thick](0,-2)--(5,3); \draw[-][thick](0,2)--(-5,-3); \draw[-][thick](0,-2)--(-5,3); \draw[-][thick](-8,0)--(-7,0); \draw[-][thick](-7,0)--(-6,0); \draw[-][thick](-6,0)--(-5,0); \draw[<-][thick](-5,0)--(-4,0); \draw[-][thick](-4,0)--(-3,0); \draw[-][thick](-3,0)--(-2,0); \draw[-][thick](-2,0)--(-1,0); \draw[-][thick](-1.8,0)--(-1.5,0); \draw[fill] (-1.5,-0.4) node[below left]{-${z_0}$}; \draw[->][thick](-1,0)--(0,0); \draw[-][thick](0,0)--(1,0); \draw[-][thick](1,0)--(2,0); \draw[-][thick](2,0)--(3,0); \draw[-][thick](2,0)--(2.5,0); \draw[fill] (2.5,-0.4) node[below left]{${z_0}$}; \draw[-][thick](3,0)--(4,0); \draw[<-][thick](4,0)--(5,0); \draw[-][thick](5,0)--(6,0); \draw[-][thick](6,0)--(7,0); \draw[-][thick](7,0)--(8,0); \draw[fill] (5,1) node{$\Omega_{3}$}; \draw[fill] (5,-1) node{$\Omega_{6}$}; \draw[fill] (0,0.6) node{$\Omega_{7}$}; \draw[fill] (0,-0.6) node{$\Omega_{4}$}; \draw[fill] (-5,1) node{$\Omega_{5}$}; \draw[fill] (-5,-1) node{$\Omega_{8}$}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[twoside,10pt]{article} \usepackage{tikz} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=0.5] \draw[-][thick](-1,1)--(-4,4); \draw[<-][thick](-1,1)--(0,0); \draw[-][thick](1,1)--(4,4); \draw[<-][thick](1,1)--(0,0); \draw[-][thick](-1,-1)--(-4,-4); \draw[<-][thick](-1,-1)--(0,0); \draw[-][thick](1,-1)--(4,-4); \draw[<-][thick](1,-1)--(0,0); \draw[fill] (0,-0.4) node[below ]{-${z_0}$}; \draw[fill] (0,-2.4) node[below ]{${\hat{\Sigma}}{_A^{(3)}}$}; \draw[-][thick](12,0)--(8,4); \draw[->][thick](10,2)--(11,1); \draw[-][thick](12,0)--(16,4); \draw[->][thick](14,2)--(13,1); \draw[-][thick](12,0)--(8,-4); \draw[->][thick](10,-2)--(11,-1); \draw[-][thick](12,0)--(16,-4); \draw[->][thick](14,-2)--(13,-1); \draw[fill] (12,-0.4) node[below ]{${z_0}$}; \draw[fill] (12,-2.4) node[below ]{${\hat{\Sigma}}{_B^{(3)}}$}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[twoside,10pt]{article} \usepackage{tikz} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=0.5] \draw[-][thick](-1,1)--(-4,4)[thick]node[left]{${\sum}{_A^{3}}$}; \draw[<-][thick](-1,1)--(0,0); \draw[-][thick](1,1)--(4,4)[thick]node[right]{${\sum}{_A^{2}}$}; \draw[<-][thick](1,1)--(0,0); \draw[-][thick](-1,-1)--(-4,-4)[thick]node[right]{${\sum}{_A^{4}}$}; \draw[<-][thick](-1,-1)--(0,0); \draw[-][thick](1,-1)--(4,-4)[thick]node[right]{${\sum}{_A^{1}}$}; \draw[<-][thick](1,-1)--(0,0); \draw[fill] (0,-0.4) node[below ]{$0$}; \draw[fill] (0,-2.4) node[below ]{${\Sigma_A}$}; \draw[-][thick](12,0)--(8,4)[thick]node[left]{${\sum}{_B^{3}}$}; \draw[->][thick](10,2)--(11,1); \draw[-][thick](12,0)--(16,4)[thick]node[right]{${\sum}{_B^{2}}$}; \draw[->][thick](14,2)--(13,1); \draw[-][thick](12,0)--(8,-4)[thick]node[right]{${\sum}{_B^{4}}$}; \draw[->][thick](10,-2)--(11,-1); \draw[-][thick](12,0)--(16,-4)[thick]node[right]{${\sum}{_B^{1}}$}; \draw[->][thick](14,-2)--(13,-1); \draw[fill] (12,-0.4) node[below ]{$0$}; \draw[fill] (12,-2.4) node[below ]{${\Sigma_B}$}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[twoside,10pt]{article} \usepackage{tikz} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=0.9] \draw[-][thick](-4,0)--(-3,0); \draw[-][thick](-3,0)--(-2,0); \draw[-][thick](-2.0,0)--(-1.0,0)node[below left]{$-z_{0}$}; \draw[-][thick](-1,0)--(0,0); \draw[-][thick](0,0)--(1,0)node[below right]{$z_{0}$}; \draw[-][thick](1,0)--(2,0); \draw[fill] (1,0) circle [radius=0.035]; \draw[fill] (-1,0) circle [radius=0.035]; \draw[-][thick](2.0,0)--(3.0,0); \draw[-][thick](3.0,0)--(4.0,0)[thick]node[right]{$\mathbb{R}$}; \draw[-][thick](0,4)--(0,3)[thick]node[right]{$i\mathbb{R}$}; \draw[-][thick](0,3)--(0,2); \draw[-][thick](0,2)--(0,1); \draw[-][thick](0,1)--(0,0); \draw[-][thick](0,0)--(0,-1); \draw[-][thick](0,-1)--(0,-2); \draw[-][thick](0,-2)--(0,-3); \draw[-][thick](0,-3)--(0,-4); \draw [-,thick, cyan] (1,0) to [out=90,in=-120] (2,3); \draw [-,thick, cyan] (1,0) to [out=-90,in=120] (2,-3); \draw [-,thick, cyan] (-1,0) to [out=90,in=-60] (-2,3); \draw [-,thick, cyan] (-1,0) to [out=-90,in=60] (-2,-3); \draw[fill] (0,2) node{实部$(i\theta(z))>0$}; \draw[fill] (0,-2) node{实部$(i\theta(z))<0$}; \draw[fill] (-2.5,1) node{实部$(i\theta(z))<0$}; \draw[fill] (2.5,1) node{实部$(i\theta(z))<0$}; \draw[fill] (2.5,-1) node{实部$(i\theta(z))>0$}; \draw[fill] (-2.5,-1) node{实部$(i\theta(z))>0$}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[12pt]{amsart} \usepackage[colorlinks,linkcolor=blue,citecolor=blue,urlcolor=blue, pdfcenterwindow, pdfstartview={XYZ null null 1.2}, pdffitwindow, pdfdisplaydoctitle=true]{hyperref} \usepackage{amssymb} \usepackage{amsmath} \usepackage{color} \usepackage{tikz-cd} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \coordinate [label={above :$w_1$}] (1) at (2, 1); \coordinate [label={above :$v_1$}] (0) at (3, 1); \draw[dashed] (-3,1) -- (-2,1); \draw (-2,1) -- (4,1); \draw[dashed] (4,1) -- (5,1); \draw [dashed](-3,0) -- (-2,0); \draw (-2,0) -- (4,0); \draw[dashed] (4,0) -- (5,0); \draw (-2,0) -- (-2,1); \draw (-1,0) -- (-1,1); \draw (-0,0) -- (-0,1); \draw (1,0) -- (1,1); \draw (2,0) -- (2,1); \draw (3,0) -- (3,1); \draw (4,0) -- (4,1); \draw[dashed](-0.5,1.5)-- (2.5,1.5); \draw[dashed](-0.5,-0.5)-- (2.5,-0.5); \draw[dashed](-0.5,-0.5)-- (-0.5,1.5); \draw[dashed](2.5,-0.5)-- (2.5,1.5); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[12pt]{amsart} \usepackage[colorlinks,linkcolor=blue,citecolor=blue,urlcolor=blue, pdfcenterwindow, pdfstartview={XYZ null null 1.2}, pdffitwindow, pdfdisplaydoctitle=true]{hyperref} \usepackage{amssymb} \usepackage{amsmath} \usepackage{color} \usepackage{tikz-cd} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \coordinate [label={above :$0$}] (0) at (-2, 0); \coordinate [label={above :$0$}] (0) at (0, 0); \coordinate [label={above :$0$}] (0) at (2, 0); \coordinate [label={above :$0$}] (0) at (4, 0); \coordinate [label={above :$0$}] (0) at (-1, 1); \coordinate [label={below :$0$}] (0) at (-1, -1); \coordinate [label={below :$-1$}] (-1) at (1,-1); \coordinate [label={above :$1$}] (1) at (1, 1); \coordinate [label={above :$0$}] (0) at (3, 1); \coordinate [label={below :$0$}] (0) at (3, -1); \draw[dashed] (-2,0) -- (-3,1); \draw[dashed] (-2,0) -- (-3,-1); \draw (-1,-1) -- (-2,0); \draw (-1,1) -- (-2,0); \draw (-1,-1) -- (1,1); \draw (1,-1) -- (3,1); \draw (1,-1) -- (1,1); \draw (3,-1) -- (3,1); \draw (-1,-1) -- (-1,1); \draw (-1,1) -- (1,-1); \draw (1,1) -- (3,-1); \draw (3,1) -- (4,0); \draw (3,-1) -- (4,0); \draw[dashed] (4,0) -- (5,1); \draw[dashed] (4,0) -- (5,-1); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[12pt]{amsart} \usepackage[colorlinks,linkcolor=blue,citecolor=blue,urlcolor=blue, pdfcenterwindow, pdfstartview={XYZ null null 1.2}, pdffitwindow, pdfdisplaydoctitle=true]{hyperref} \usepackage{amssymb} \usepackage{amsmath} \usepackage{color} \usepackage{tikz-cd} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \draw [dashed] (-1.4,0.6) -- (-1,1); \draw [dashed] (-1.4,0.4) -- (-1,0); \draw (-1,0) -- (0,1); \draw (-1,1) -- (-0.55,0.55); \draw (-0.45,0.45) -- (0,0); \draw (0,0) -- (1,1); \draw (0,1) -- (0.45,0.55); \draw (0.55,0.45) -- (1,0); \draw (1,0) -- (2,1); \draw (1,1) -- (1.45,0.55); \draw (1.55,0.45) -- (2,0); \draw (2,0) -- (3,1); \draw (2,1) -- (2.45,0.55); \draw (2.55,0.45) -- (3,0); \draw [dashed] (3,0) -- (3.5,0); \draw [dashed] (3,0) -- (3.4,0.4); \draw [dashed] (3,1) -- (3.4,0.6); \draw [dashed] (3,1) -- (3.5,1); \draw[dashed] (-1.5,1) -- (-1,1); \draw (-1,1) -- (3,1); \draw [dashed](-1.5,0) -- (-1,0); \draw (-1,0) -- (3,0); \coordinate [label={above :$0$}] (1) at (-1, 1); \coordinate [label={above :$0$}] (1) at (0, 1); \coordinate [label={above :$1$}] (1) at (1, 1); \coordinate [label={below :$-1$}] (1) at (1, 0); \coordinate [label={below :$0$}] (1) at (2, 0); \coordinate [label={below :$0$}] (1) at (3, 0); \coordinate [label={above :$0$}] (1) at (2, 1); \coordinate [label={above :$0$}] (1) at (2, 1); \coordinate [label={below :$0$}] (1) at (0, 0); \coordinate [label={below :$0$}] (1) at (-1, 0); \coordinate [label={above :$0$}] (1) at (2, 1); \coordinate [label={above :$0$}] (0) at (3, 1); \draw (-1,0) -- (-1,1); \draw (-0,0) -- (-0,1); \draw (1,0) -- (1,1); \draw (2,0) -- (2,1); \draw (3,0) -- (3,1); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[12pt]{amsart} \usepackage[colorlinks,linkcolor=blue,citecolor=blue,urlcolor=blue, pdfcenterwindow, pdfstartview={XYZ null null 1.2}, pdffitwindow, pdfdisplaydoctitle=true]{hyperref} \usepackage{amssymb} \usepackage{amsmath} \usepackage{color} \usepackage{tikz-cd} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \coordinate [label={above :$w_1$}] (1) at (2, 1); \coordinate [label={above :$v_1$}] (0) at (3, 1); \coordinate [label={below :$w_2$}] (1) at (2, 0); \coordinate [label={below :$v_2$}] (0) at (3, 0); \draw[dashed] (-3,1) -- (-2,1); \draw (-2,1) -- (4,1); \draw[dashed] (4,1) -- (5,1); \draw [dashed](-3,0) -- (-2,0); \draw (-2,0) -- (4,0); \draw[dashed] (4,0) -- (5,0); \draw (-2,0) -- (-2,1); \draw (-1,0) -- (-1,1); \draw (-0,0) -- (-0,1); \draw (1,0) -- (1,1); \draw (2,0) -- (2,1); \draw (3,0) -- (3,1); \draw (4,0) -- (4,1); \draw[dashed](-0.5,1.5)-- (1.5,1.5); \draw[dashed](-0.5,-0.5)-- (2.5,-0.5); \draw[dashed](-0.5,-0.5)-- (-0.5,1.5); \draw[dashed](2.5,-0.5)-- (2.5,0.5); \draw[dashed](1.5,0.5)-- (2.5,0.5); \draw[dashed](1.5,0.5)-- (1.5,1.5); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass{article} \usepackage[pdftex, pdfauthor={Alexis Marchand}, pdftitle={Free representations of outer automorphism groups of free products via characteristic abelian coverings}, colorlinks=true, linkcolor=black, urlcolor=black, citecolor=black]{hyperref} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \usetikzlibrary{decorations.markings,graphs,graphs.standard} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[align=center, node distance = 1cm, auto] \node at (0,0) (A) {$\left(A',N\right)$}; \node at (2,0) (B) {$\left(A',N\right)$}; \node [ below of=A] (Ap) {$\left(A,G\right)$}; \node [ below of=B] (Bp) {$\left(A,G\right)$}; \draw [->] (A) -> (B); \draw [->] (A) -> (Ap); \draw [->] (B) -> (Bp); \draw [dashed,->] (Ap) -> (Bp); \draw (1,0.25) node {$\psi$}; \draw (-0.25,-0.5) node {$p$}; \draw (2.25,-0.5) node {$p$}; \draw (1,-0.75) node {$\varphi$}; \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass{article} \usepackage[pdftex, pdfauthor={Alexis Marchand}, pdftitle={Free representations of outer automorphism groups of free products via characteristic abelian coverings}, colorlinks=true, linkcolor=black, urlcolor=black, citecolor=black]{hyperref} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \usetikzlibrary{decorations.markings,graphs,graphs.standard} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[every node/.style={draw,circle,fill,inner sep=1.3pt},scale=0.6] \node[fill=none,draw=none] at (-6,1) {$A$}; \node[fill=none,draw=none] at (-3.5,-4) {$N\backslash A$}; \node[fill=none,draw=none] at (11,-4) {$G\backslash A$}; \draw node[circle,fill=Red!30] (q2) at (-4,1) {}; \draw node[circle,fill=Blue!30] (q1) at (-2,1) {}; \draw node[circle,fill=Red!30] (p0) at (0,1) {}; \draw node[circle,fill=Blue!30] (p1) at (2,1) {}; \draw node[circle,fill=Red!30] (p2) at (4,1) {}; \draw node[circle,fill=Blue!30] (p3) at (6,1) {}; \draw node[circle,fill=Red!30] (p4) at (8,1) {}; \draw node[circle,fill=Blue!30] (p5) at (10,1) {}; \draw node[circle,fill=Red!30] (p6) at (12,1) {}; \draw [thick] (q2) -- (q1) -- (p0) -- (p1) -- (p2) -- (p3) -- (p4) -- (p5) -- (p6); \draw [thick,dotted] (q2) -- (-5,1); \draw [thick,dotted] (p6) -- (13,1); \draw (0.5,1.1) edge [bend right=90,->] (-0.5,1.1); \draw (-0.5,0.9) edge [bend right=90,->] (0.5,0.9); \node[fill=none,draw=none] at (0,1.7) {{\small$a$}}; \draw (2.5,1.1) edge [bend right=90,->] (1.5,1.1); \draw (1.5,0.9) edge [bend right=90,->] (2.5,0.9); \node[fill=none,draw=none] at (2,1.7) {{\small$b$}}; \draw [->] (2,-0.5) -- (0.5,-1.5); \draw [->] (6,-0.5) -- (7.5,-1.5); \draw [->] (2.5,-4) -- (5.5,-4); \draw node[circle,fill=Blue!30] (a) at (-0.75,-2.5) {}; \draw node[circle,fill=Red!30] (b) at (0.75,-2.5) {}; \draw node[circle,fill=Blue!30] (c) at (1.5,-3.25) {}; \draw node[circle,fill=Red!30] (d) at (1.5,-4.75) {}; \draw node[circle,fill=Blue!30] (e) at (0.75,-5.5) {}; \draw node[circle,fill=Red!30] (f) at (-0.75,-5.5) {}; \draw node[circle,fill=Blue!30] (g) at (-1.5,-4.75) {}; \draw node[circle,fill=Red!30] (h) at (-1.5,-3.25) {}; \draw [thick] (a) -- (b) -- (c) -- (d) -- (e) -- (f) -- (g) -- (h) -- (a); \draw [dashed] (-1.15,-1.7) -- (a) -- (e) -- (1.15,-6.3); \draw [dashed] (-2.3,-2.85) -- (h) -- (d) -- (2.3,-5.15); \draw (-1.55,-2.4) edge [bend left=45,->] (-0.35,-1.8); \draw (2.2,-4.35) edge [bend left=45,->] (1.6,-5.55); \node[fill=none,draw=none] at (-1.45,-1.7) {{\small$b$}}; \node[fill=none,draw=none] at (2.5,-4.9) {{\small$a$}}; \draw node[circle,fill=Blue!30, label=above:{\small$\mathbb{Z}/2$}] (bbleu) at (6.7,-4) {}; \draw node[circle,fill=Red!30, label=above:{\small$\mathbb{Z}/2$}] (brouge) at (9.3,-4) {}; \draw [thick] (bbleu) -- (brouge); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass{article} \usepackage[pdftex, pdfauthor={Alexis Marchand}, pdftitle={Free representations of outer automorphism groups of free products via characteristic abelian coverings}, colorlinks=true, linkcolor=black, urlcolor=black, citecolor=black]{hyperref} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \usetikzlibrary{decorations.markings,graphs,graphs.standard} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[every node/.style={draw,circle,fill,inner sep=0.8pt},scale=0.5] \node[fill=none,draw=none] at (-5,5) {$A_1$}; \node[fill=none,draw=none] at (-2,-11) {$G\backslash A_1$}; \draw node[circle,fill=white] (0 0) at (0,0) {}; \draw (0.6,0.1) edge [bend right=45,->] (0.1,0.6); \draw (-0.1,0.6) edge [bend right=45,->] (-0.6,0.1); \draw (-0.6,-0.1) edge [bend right=45,->] (-0.1,-0.6); \draw (0.1,-0.6) edge [bend right=45,->] (0.6,-0.1); \node[fill=none,draw=none] at (0.7,0.7) {{\small$c$}}; 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[ null, null, null, null, null ]
\documentclass{article} \usepackage[pdftex, pdfauthor={Alexis Marchand}, pdftitle={Free representations of outer automorphism groups of free products via characteristic abelian coverings}, colorlinks=true, linkcolor=black, urlcolor=black, citecolor=black]{hyperref} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \usetikzlibrary{decorations.markings,graphs,graphs.standard} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[every node/.style={draw,circle,fill,inner sep=1pt},scale=0.6] \node[fill=none,draw=none] at (5,8.5) {$G_1'\backslash A_1$}; \node[fill=none,draw=none] at (3.5,-4.5) {$G_1\backslash A_1$}; \draw node[circle,fill=white] (p0) at (5,1) {}; \draw node[circle,fill=white] (p1) at (5,4.25) {}; \draw node[circle,fill=white] (p2) at (5,7.5) {}; \draw node[circle,fill=white] (q) at (2,4.25) {}; \draw node[circle,fill=white] (r) at (8,4.25) {}; \draw node (x0) at (3.5,2.625) {}; \draw node (x1) at (3.5,4.25) {}; \draw node (x2) at (3.5,5.875) {}; \draw node (y0) at (6.5,2.625) {}; \draw node (y1) at (6.5,4.25) {}; \draw node (y2) at (6.5,5.875) {}; \draw [thick, color=Red] (q) -- (x0); \draw [thick, color=Red] (q) -- (x1); \draw [thick, color=Red] (q) -- (x2); \draw [thick, color=Red] (r) -- (y0); \draw [thick, color=Red] (r) -- (y1); \draw [thick, color=Red] (r) -- (y2); \draw [thick, color=ForestGreen] (p0) -- (x0); \draw [thick, color=ForestGreen] (p1) -- (x1); \draw [thick, color=ForestGreen] (p2) -- (x2); \draw [thick, color=ForestGreen] (p0) -- (y0); \draw [thick, color=ForestGreen] (p1) -- (y1); \draw [thick, color=ForestGreen] (p2) -- (y2); \coordinate (f1) at (5,0); \coordinate (f2) at (5,-1.5); \draw [->] (f1) -- (f2); \draw node[label=right:{\small$v_0$}] (bn) at (5,-4.5) {}; \draw node[circle,fill=white, label=above:{\small$\mathbb{Z}/3$}] (brouge) at (5,-3.5) {}; \draw node[circle,fill=white, label=below:{\small$\mathbb{Z}/2$}] (bvert) at (5,-5.5) {}; \draw [thick, color=Red] (bn) -- (brouge); \draw [thick, color=ForestGreen] (bn) -- (bvert); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass{article} \usepackage[pdftex, pdfauthor={Alexis Marchand}, pdftitle={Free representations of outer automorphism groups of free products via characteristic abelian coverings}, colorlinks=true, linkcolor=black, urlcolor=black, citecolor=black]{hyperref} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \usetikzlibrary{decorations.markings,graphs,graphs.standard} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[every node/.style={draw,circle,fill,inner sep=1pt},scale=0.6] \node[fill=none,draw=none] at (5,8.5) {$G_2'\backslash A_2$}; \node[fill=none,draw=none] at (3.5,-4.5) {$G_2\backslash A_2$}; \draw node (p000) at (0,0) {}; \draw node (p100) at (2.5,0) {}; \draw node (p200) at (5,0) {}; \draw node (p300) at (7.5,0) {}; \draw node (p010) at (1,1) {}; \draw node (p110) at (3.5,1) {}; \draw node (p210) at (6,1) {}; \draw node (p310) at (8.5,1) {}; \draw node (p020) at (2,2) {}; 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\draw node[circle,fill=white] (qvert11) at (3.5,3.5) {}; \draw [thick, color=ForestGreen] (qvert11) -- (p111); \draw node[circle,fill=white] (qvert21) at (6,3.5) {}; \draw [thick, color=ForestGreen] (qvert21) -- (p211); \draw node[circle,fill=white] (qvert31) at (8.5,3.5) {}; \draw [thick, color=ForestGreen] (qvert31) -- (p311); \draw node[circle,fill=white] (qvert02) at (2,4.5) {}; \draw [thick, color=ForestGreen] (qvert02) -- (p021); \draw node[circle,fill=white] (qvert12) at (4.5,4.5) {}; \draw [thick, color=ForestGreen] (qvert12) -- (p121); \draw node[circle,fill=white] (qvert22) at (7,4.5) {}; \draw [thick, color=ForestGreen] (qvert22) -- (p221); \draw node[circle,fill=white] (qvert32) at (9.5,4.5) {}; \draw [thick, color=ForestGreen] (qvert32) -- (p321); \draw node[circle,fill=white] (qbleu00) at (3.75,0.5) {}; \draw [thick, color=Blue] (qbleu00) -- (p000); \draw [thick, color=Blue] (qbleu00) -- (p100); \draw [thick, color=Blue] (qbleu00) -- (p200); \draw [thick, color=Blue] (qbleu00) -- (p300); 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\draw [thick, color=Red] (qrouge01) -- (p001); \draw [thick, color=Red] (qrouge01) -- (p011); \draw [thick, color=Red] (qrouge01) -- (p021); \draw node[circle,fill=white] (qrouge11) at (3,6.5) {}; \draw [thick, color=Red] (qrouge11) -- (p101); \draw [thick, color=Red] (qrouge11) -- (p111); \draw [thick, color=Red] (qrouge11) -- (p121); \draw node[circle,fill=white] (qrouge21) at (5.5,6.5) {}; \draw [thick, color=Red] (qrouge21) -- (p201); \draw [thick, color=Red] (qrouge21) -- (p211); \draw [thick, color=Red] (qrouge21) -- (p221); \draw node[circle,fill=white] (qrouge31) at (8,6.5) {}; \draw [thick, color=Red] (qrouge31) -- (p301); \draw [thick, color=Red] (qrouge31) -- (p311); \draw [thick, color=Red] (qrouge31) -- (p321); \draw [thick, color=ForestGreen] (qvert00) -- (p000); \draw [thick, color=ForestGreen] (qvert10) -- (p100); \draw [thick, color=ForestGreen] (qvert20) -- (p200); \draw [thick, color=ForestGreen] (qvert30) -- (p300); \draw [thick, color=ForestGreen] (qvert01) -- (p010); 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[ null, null, null, null, null ]
\documentclass{article} \usepackage[pdftex, pdfauthor={Alexis Marchand}, pdftitle={通过特征阿贝尔覆叠实现自由乘积外自同构群的自由表示}, colorlinks=true, linkcolor=black, urlcolor=black, citecolor=black]{hyperref} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[dvipsnames]{xcolor} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \usetikzlibrary{decorations.markings,graphs,graphs.standard} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[every node/.style={draw,circle,fill,inner sep=0.8pt},scale=0.5] \node[fill=none,draw=none] at (-4.5,4.5) {$A_2$}; \node[fill=none,draw=none] at (-2,-11) {$G\backslash A_2$}; \draw node[circle,fill=white] (0 0) at (0,0) {}; \draw (0.6,0.1) edge [bend right=45,->] (0.1,0.6); \draw (-0.1,0.6) edge [bend right=45,->] (-0.6,0.1); \draw (-0.6,-0.1) edge [bend right=45,->] (-0.1,-0.6); \draw (0.1,-0.6) edge [bend right=45,->] (0.6,-0.1); \node[fill=none,draw=none] at (0.7,0.7) {{\small$c$}}; \draw (2,3.1) edge [bend right=90,->] (1,3.1); 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\draw node[circle,fill=white] (2 4) at (-3,-1.5) {}; \draw [thick, color=Blue] (0 4) -- (2 4); \draw node[circle,fill=white] (3 4) at (-3,-2.25) {}; \draw [thick, color=Blue] (2 4) -- (3 4); \draw node[circle,fill=white] (35 4) at (-3,-2.625) {}; \draw [thick, color=Blue] (3 4) -- (35 4); \draw node[circle,fill=white] (3 45) at (-3.375,-2.25) {}; \draw [thick, color=Red] (3 4) -- (3 45); \draw node[circle,fill=white] (3 35) at (-2.625,-2.25) {}; \draw [thick, color=Red] (3 4) -- (3 35); \draw node[circle,fill=white] (1 6) at (-4.5,0.75) {}; \draw [thick, color=Red] (0 6) -- (1 6); \draw node[circle,fill=white] (15 6) at (-4.5,1.125) {}; \draw [thick, color=Red] (1 6) -- (15 6); \draw node[circle,fill=white] (m1 6) at (-4.5,-0.75) {}; \draw [thick, color=Red] (0 6) -- (m1 6); \draw node[circle,fill=white] (m15 6) at (-4.5,-1.125) {}; \draw [thick, color=Red] (m1 6) -- (m15 6); \draw node[circle,fill=white] (m1 65) at (-4.875,-0.75) {}; \draw [thick, color=Blue] (m1 6) -- (m1 65); \draw node[circle,fill=white] (m1 55) at (-4.125,-0.75) {}; \draw [thick, color=Blue] (m1 6) -- (m1 55); \draw node[circle,fill=white] (1 65) at (-4.875,0.75) {}; \draw [thick, color=Blue] (1 6) -- (1 65); \draw node[circle,fill=white] (1 55) at (-4.125,0.75) {}; \draw [thick, color=Blue] (1 6) -- (1 55); \draw node[circle,fill=white] (05 7) at (-5.25,0.375) {}; \draw [thick, color=Blue] (0 7) -- (05 7); \draw node[circle,fill=white] (m05 7) at (-5.25,-0.375) {}; \draw [thick, color=Blue] (0 7) -- (m05 7); \coordinate (f1) at (0,-6); \coordinate (f2) at (0,-7.5); \draw [->] (f1) -- (f2); \draw node[circle,fill=white, label=right:{\small$\mathbb{Z}/2$}] (bn) at (0,-10.5) {}; \draw node[circle,fill=white, label=below:{\small$\mathbb{Z}/4$}] (brouge) at (0,-11.5) {}; \draw node[circle,fill=white, label=above:{\small$\mathbb{Z}/2$}] (bvert) at (0,-9.5) {}; \draw [thick, color=Red] (bn) -- (brouge); \draw [thick, color=Blue] (bn) -- (bvert); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[12pt,a4paper]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amssymb,amsthm} \usepackage{color} \usepackage{tikz} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}% \draw[thick,->] (0,0) -- (4.5,0) node[anchor=west] {$\lambda$};% \draw[thick,->] (0,0) -- (0,4.5) node[anchor=east] {$\|u\|_{C(\overline{\Omega})}$};% \draw[blue, thick] (0.2,4.3) .. controls (.5,2) .. (1.3,1.5); \draw[densely dashed] (1.3,0) -- (1.3, 1.5); \node[label=below:{{$\hat{\lambda}$}}] at (1.3,0) {}; \end{tikzpicture} \end{CJK} \end{document}
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\documentclass[runningheads, envcountsame, a4paper]{llncs} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{automata,positioning} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[auto] \begin{scope}[xshift=-.1cm] % nodes \node[draw,circle] (A) at (0,0) {$a$}; \node[draw,circle] (B) at (1.5,0) {$b$}; % edges \draw[bend left,->] (A) to node {$1$} (B); \draw[bend left,->] (B) to node {$0$} (A); % loops \draw[loop left,->] (A) to node {$0,2$} (A); \draw[loop right,->] (B) to node {$1$} (B); % initial state identified with arrows \draw[<-] (A) -- ++ (0,1) node[above] {}; % final states identified with arrows \draw[->] (A) -- ++ (0,-0.5); \draw[->] (B) -- ++ (0,-0.5); \end{scope} \begin{scope}[xshift=4.5cm] % nodes \node[draw] (S) at (.75,1.2) {$\textsc{起始}$}; \node[draw,circle] (A) at (0,0) {$a$}; \node[draw,circle] (B) at (1.5,0) {$b$}; % edges \draw[bend left=20,->] (A) to node {$01$} (B); \draw[bend left=20,->] (B) to node {$00$} (A); \draw[bend right,->] (S) to node[swap] {$0$} (A); \draw[bend left,->] (S) to node {$1$} (B); % initial state identified with arrows \draw[<-] (S) -- ++ (0,.5) node[above] {}; % loops \draw[loop left,->] (A) to node {$00,10$} (A); \draw[loop right,->] (B) to node {$01$} (B); % final states identified with arrows \draw[->] (A) -- ++ (0,-0.5); \draw[->] (B) -- ++ (0,-0.5); \end{scope} \begin{scope}[xshift=8.5cm] % nodes \node[draw] (S) at (.75,1.2) {$\textsc{起始}$}; \node[draw,circle] (A) at (0,0) {$a$}; \node[draw,circle] (B) at (1.5,0) {$b$}; % edges \draw[bend left=20,->] (A) to node {$1$} (B); \draw[bend left=20,->] (B) to node {$0$} (A); \draw[bend right,->] (S) to node[swap] {$0$} (A); \draw[bend left,->] (S) to node {$1$} (B); % initial state identified with arrows \draw[<-] (S) -- ++ (0,.5) node[above] {}; % loops \draw[loop left,->] (A) to node {$0$} (A); % final states identified with arrows \draw[->] (A) -- ++ (0,-0.5); \draw[->] (B) -- ++ (0,-0.5); \end{scope} \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[12pt,a4paper]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amssymb,amsthm} \usepackage{color} \usepackage{tikz} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture}[scale=.8] \draw[thick,->] (0,0) -- (5.6,0) node[anchor=west] {$\lambda$}; \draw[thick,->] (0,0) -- (0,5.3) node[anchor=east] {$\|u\|_{C(\overline{\Omega})}$}; \draw[blue, thick] (0.2,5.1) .. controls (.3,1.2) .. (3, 0); \node[label=below:{$\frac{\mu_1}{f'(0)}$}] at (3, 0) {}; \draw[densely dashed] (4.2,0) -- (4.2, 5.3); \node[label=below:{{$\frac{\mu_1}{K}$}}] at (4.3, 0) {}; \fill[gray!40!white] (4.2, 0) rectangle (5.5,5.3); \end{tikzpicture} \end{CJK} \end{document}
[ null, null, null, null, null ]
\documentclass[conference]{IEEEtran} \usepackage{amsmath,amssymb,amsfonts} \usepackage{xcolor} \usepackage{pgfplots} \pgfplotsset{compat=newest} \usetikzlibrary{plotmarks} \usetikzlibrary{arrows.meta} \usepgfplotslibrary{patchplots} \usepackage{tikz} \usepackage{CJKutf8} \begin{document} \begin{CJK}{UTF8}{gbsn} \begin{tikzpicture} \begin{axis}[% width=3.673in, height=1.613in, at={(0.616in,0.218in)}, scale only axis, xmin=0, xmax=4.25, xtick={0.15,2.75,3.375,4}, xticklabels={{0.15},{3},{${\text{\it{}t}}\text{/s}\rightarrow$},{60}}, ymin=0, ymax=1, ytick={0.15,0.5,0.8,0.9}, yticklabels={{0.15},{${\text{\it{}u}}\text{/p.u.}\uparrow$},{0.85},{0.90}}, axis background/.style={fill=white}, xmajorgrids, ymajorgrids, grid style={dashed} ] \addplot[area legend, draw=none, fill=green, fill opacity=0.1, forget plot] table[row sep=crcr] {% x y\\ 0 0.15\\ 0.15 0.15\\ 2.75 0.8\\ 4 0.8\\ 4 0.9\\ 4.25 0.9\\ 4.25 1\\ 0 1\\ }--cycle; \addplot[area legend, draw=none, fill=red, fill opacity=0.1, forget plot] table[row sep=crcr] {% x y\\ 0 0.15\\ 0.15 0.15\\ 2.75 0.8\\ 4 0.8\\ 4 0.9\\ 4.25 0.9\\ 4.25 0\\ 0 0\\ }--cycle; \addplot [color=red, line width=2.0pt, forget plot] table[row sep=crcr]{% 0 0.15\\ 0.15 0.15\\ 2.75 0.8\\ 4 0.8\\ 4 0.9\\ 4.25 0.9\\ }; \end{axis} \begin{axis}[% width=4.74in, height=1.979in, at={(0in,0in)}, scale only axis, xmin=0, xmax=1, ymin=0, ymax=1, axis line style={draw=none}, ticks=none, axis x line*=bottom, axis y line*=left ] \node[below right, align=left] at (rel axis cs:0.2,0.73) {连通\\$\text{("}{\text{\it{}存活}}\text{")}$}; \node[below right, align=left] at (rel axis cs:0.38,0.45) {断开\\$\text{("}{\text{\it{}未存活}}\text{")}$}; \end{axis} \end{tikzpicture} \end{CJK} \end{document}
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\definecolor{drawColor}{RGB}{0,0,0} \node[text=drawColor,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.88] at (299.64, 67.00) {male}; \end{scope} \end{tikzpicture} \end{document}
[ null, null, null, null, null ]
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