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example_9983_combination_2
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[scale=2] \draw[->] (-0.3,0) -- (3,0); \draw[->] (0,-1.3) -- (0,1.3); \end{tikzpicture} \end{document}
example_9983_combination_3
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[scale=2] \draw[->] (-0.3,0) -- (3,0); \draw[->] (0,-1.3) -- (0,1.3); \draw (1,0) circle (1); \end{tikzpicture} \end{document}
example_9983_combination_4
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[scale=2] \draw[->] (-0.3,0) -- (3,0); \draw[->] (0,-1.3) -- (0,1.3); \draw (1,0) circle (1); \def\nuPi{3.14159265} \foreach \x in {0,1,2,3,4} \filldraw[black] ({1-cos(-72*\x)},{sin(72*\x)}) circle (0.03); \end{tikzpicture} \end{document}
example_9983_combination_7
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[scale=2] \draw[->] (-0.3,0) -- (3,0); \draw[->] (0,-1.3) -- (0,1.3); \draw (1,0) circle (1); \def\nuPi{3.14159265} \foreach \x in {0,1,2,3,4} \filldraw[black] ({1-cos(-72*\x)},{sin(72*\x)}) circle (0.03); \draw[dashed] (1,0) node[below]{$1$} -- ({1-cos(-72*2)},{sin(72*2)}) node[right]{$z_-$} -- (0,0); \draw ({1-cos(-72*3)},{sin(72*3)}) node[right]{$z_+$}; \end{tikzpicture} \end{document}
example_9983_combination_1
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[scale=2] \draw[->] (-0.3,0) -- (3,0); \end{tikzpicture} \end{document}
example_9983_combination_6
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[scale=2] \draw[->] (-0.3,0) -- (3,0); \draw[->] (0,-1.3) -- (0,1.3); \draw (1,0) circle (1); \def\nuPi{3.14159265} \foreach \x in {0,1,2,3,4} \filldraw[black] ({1-cos(-72*\x)},{sin(72*\x)}) circle (0.03); \draw[dashed] (1,0) node[below]{$1$} -- ({1-cos(-72*2)},{sin(72*2)}) node[right]{$z_-$} -- (0,0); \draw ({1-cos(-72*3)},{sin(72*3)}) node[right]{$z_+$}; \end{tikzpicture} \end{document}
example_9983_main
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[scale=2] \draw[->] (-0.3,0) -- (3,0); \draw[->] (0,-1.3) -- (0,1.3); \draw (1,0) circle (1); \def\nuPi{3.14159265} \foreach \x in {0,1,2,3,4} \filldraw[black] ({1-cos(-72*\x)},{sin(72*\x)}) circle (0.03); \draw[dashed] (1,0) node[below]{$1$} -- ({1-cos(-72*2)},{sin(72*2)}) node[right]{$z_-$} -- (0,0); \draw ({1-cos(-72*3)},{sin(72*3)}) node[right]{$z_+$}; \end{tikzpicture} \end{document}
example_9984_combination_8
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \end{tikzpicture} \end{document}
example_9984_combination_1
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \end{tikzpicture} \end{document}
example_9984_combination_17
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \begin{scope}[xshift=6cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=12cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_3$}; \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=18cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_2$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=24cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_3$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=30cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2 \cup \mathcal{O}_3$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=36cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node (7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_2 \cup \mathcal{O}_3$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \end{tikzpicture} \end{document}
example_9984_combination_10
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \end{tikzpicture} \end{document}
example_9984_combination_6
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \end{tikzpicture} \end{document}
example_9984_combination_11
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \begin{scope}[xshift=6cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \end{tikzpicture} \end{document}
example_9984_combination_7
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \end{tikzpicture} \end{document}
example_9984_combination_16
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \begin{scope}[xshift=6cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=12cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_3$}; \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=18cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_2$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=24cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_3$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=30cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2 \cup \mathcal{O}_3$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=36cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node (7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_2 \cup \mathcal{O}_3$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \end{tikzpicture} \end{document}
example_9984_combination_9
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \end{tikzpicture} \end{document}
example_9984_combination_3
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \end{tikzpicture} \end{document}
example_9984_combination_15
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \begin{scope}[xshift=6cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=12cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_3$}; \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=18cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_2$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=24cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_3$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=30cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2 \cup \mathcal{O}_3$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \end{tikzpicture} \end{document}
example_9984_combination_12
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \begin{scope}[xshift=6cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=12cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_3$}; \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \end{tikzpicture} \end{document}
example_9984_combination_4
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \end{tikzpicture} \end{document}
example_9984_combination_13
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \begin{scope}[xshift=6cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=12cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_3$}; \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=18cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_2$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \end{tikzpicture} \end{document}
example_9984_combination_5
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \end{tikzpicture} \end{document}
example_9984_combination_2
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \end{tikzpicture} \end{document}
example_9984_combination_14
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \begin{scope}[xshift=6cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=12cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_3$}; \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=18cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_2$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=24cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_3$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \end{tikzpicture} \end{document}
example_9984_main
\documentclass[a4paper]{scrartcl} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb} \usepackage{amsmath} \usepackage[amsmath,hyperref,thmmarks]{ntheorem} \begin{document} \begin{tikzpicture}[-,thick, scale=0.3856] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \begin{scope}[xshift=6cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=12cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_3$}; \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=18cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_2$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \end{scope} \begin{scope}[xshift=24cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_3$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=30cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node(7) at (0,-3.5) {\footnotesize $\mathcal{O}_2 \cup \mathcal{O}_3$}; \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \begin{scope}[xshift=36cm] \node[circle,inner sep=1pt,draw](0) at (90+0*360/7:2) {\small $0$}; \node[circle,inner sep=1pt,draw](1) at (90+1*360/7:2) {\small $1$}; \node[circle,inner sep=1pt,draw](2) at (90+2*360/7:2) {\small $2$}; \node[circle,inner sep=1pt,draw](3) at (90+3*360/7:2) {\small $3$}; \node[circle,inner sep=1pt,draw](4) at (90+4*360/7:2) {\small $4$}; \node[circle,inner sep=1pt,draw](5) at (90+5*360/7:2) {\small $5$}; \node[circle,inner sep=1pt,draw](6) at (90+6*360/7:2) {\small $6$}; \node (7) at (0,-3.5) {\footnotesize $\mathcal{O}_1 \cup \mathcal{O}_2 \cup \mathcal{O}_3$}; \draw (0)--(1);\draw (1)--(2);\draw (2)--(3);\draw (3)--(4);\draw (4)--(5); \draw (5)--(6);\draw (6)--(0); \draw (0)--(2);\draw (2)--(4);\draw (4)--(6);\draw (6)--(1);\draw (1)--(3); \draw (3)--(5);\draw (5)--(0); \draw (0)--(3);\draw (3)--(6);\draw (6)--(2);\draw (2)--(5);\draw (5)--(1); \draw (1)--(4);\draw (4)--(0); \end{scope} \end{tikzpicture} \end{document}
example_9985_main
\documentclass[amsmath,amssymb,aps,superscriptaddress,notitlepage,nofootinbib,pra,twocolumn]{revtex4-1} \usepackage{tikz} \usepackage{pgfplots} \usepackage{tcolorbox} \usepackage[utf8]{inputenc} \usepackage[colorlinks=true]{hyperref} \usepackage{amsfonts,amsmath,amssymb,amssymb,amsthm} \usepackage{xcolor} \usepackage{pgfplots} \usetikzlibrary{graphs} \usepackage{graphicx,color,array} \newcommand{\rA}{\mathrm{A}} \newcommand{\rB}{\mathrm{B}} \newcommand{\X}{\mathsf{X}} \newcommand{\Z}{\mathsf{Z}} \begin{document} \begin{tikzpicture} % % `operator' will only be used by Hadamard (H) gates here. % `phase' is used for controlled phase gates (dots). % `surround' is used for the background box. \tikzstyle{operator} = [draw,fill=white,minimum size=1.5em] \tikzstyle{phase} = [fill,shape=circle,minimum size=5pt,inner sep=0pt] % % Qubits \node at (0,0) (q1) {$\rA_1$ }; \node at (0,-1) (q2) { $\rA$ }; \node at (0,-2) (q3) { $\rB$}; \node at (0,-3) (q4) { $\rB_1$}; % Column 1 \node[phase] (phase11) at (1.5,0) {} edge [-] (q1); \node[operator] (phase12) at (1.5,-1) {${\tilde{\X}}_{1,A}$} edge [-] (q2); \draw[-] (phase11) -- (phase12); \node[phase] (phase13) at (1.5,-3) {} edge [-] (q4); \node[operator] (phase14) at (1.5,-2) {${\tilde{\X}}_{1,B}$} edge [-] (q3); \draw[-] (phase13) -- (phase14); % Column 2 \node[operator] (op12) at (2.5,0) {H} edge [-] (phase11); \node[operator] (op22) at (2.5,-3) {H} edge [-] (phase13); % % Column 3 \node[phase] (phase21) at (3.5,0) {} edge [-] (op12); \node[operator] (phase22) at (3.5,-1) {${\tilde{\Z}}_{1,A}$} edge [-] (phase12); \draw[-] (phase21) -- (phase22); \node[phase] (phase23) at (3.5,-3) {} edge [-] (op22); \node[operator] (phase24) at (3.5,-2) {${\tilde{\Z}}_{1,B}$} edge [-] (phase14); \draw[-] (phase23) -- (phase24); % Column 4 \node[operator] (op14) at (4.5,0) {H} edge [-] (phase21); \node[operator] (op24) at (4.5,-3) {H} edge [-] (phase23); % % Column 5 \node[phase] (phase31) at (5.5,0) {} edge [-] (op14); \node[operator] (phase32) at (5.5,-1) {${\tilde{\X}}_{1,A}$} edge [-] (phase22); \draw[-] (phase31) -- (phase32); \node[phase] (phase33) at (5.5,-3) {} edge [-] (op24); \node[operator] (phase34) at (5.5,-2) {${\tilde{\X}}_{1,B}$} edge [-] (phase24); \draw[-] (phase33) -- (phase34); % \node (end1) at (6.8,0) {} edge [-] (phase31); \node (end2) at (6.8,-1) {} edge [-] (phase32); \node (end3) at (6.8,-2) {} edge [-] (phase34); \node (end4) at (6.8,-3) {} edge [-] (phase33); % % Bracket % % Background Box % \end{tikzpicture} \end{document}
example_9986_combination_9
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.12,1.52) node {$x$}; \draw (2.34,2.19) node {\small $-5$}; \draw (5.98,0.86) node {\small $5$}; \draw (11.07,3.08) node {$t$}; \draw (9.5,0.6) node {\small $-10$}; \draw (12.5,5.1) node {\small $10$}; \draw (0,3.55) node {$u$}; \end{tikzpicture} \end{document}
example_9986_combination_7
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.12,1.52) node {$x$}; \draw (2.34,2.19) node {\small $-5$}; \draw (5.98,0.86) node {\small $5$}; \draw (11.07,3.08) node {$t$}; \draw (9.5,0.6) node {\small $-10$}; \draw (12.5,5.1) node {\small $10$}; \end{tikzpicture} \end{document}
example_9986_combination_1
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \end{tikzpicture} \end{document}
example_9986_combination_6
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.12,1.52) node {$x$}; \draw (2.34,2.19) node {\small $-5$}; \draw (5.98,0.86) node {\small $5$}; \draw (11.07,3.08) node {$t$}; \draw (9.5,0.6) node {\small $-10$}; \end{tikzpicture} \end{document}
example_9986_combination_8
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.12,1.52) node {$x$}; \draw (2.34,2.19) node {\small $-5$}; \draw (5.98,0.86) node {\small $5$}; \draw (11.07,3.08) node {$t$}; \draw (9.5,0.6) node {\small $-10$}; \draw (12.5,5.1) node {\small $10$}; \draw (0,3.55) node {$u$}; \end{tikzpicture} \end{document}
example_9986_combination_5
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.12,1.52) node {$x$}; \draw (2.34,2.19) node {\small $-5$}; \draw (5.98,0.86) node {\small $5$}; \draw (11.07,3.08) node {$t$}; \end{tikzpicture} \end{document}
example_9986_combination_2
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.12,1.52) node {$x$}; \end{tikzpicture} \end{document}
example_9986_combination_3
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.12,1.52) node {$x$}; \draw (2.34,2.19) node {\small $-5$}; \end{tikzpicture} \end{document}
example_9986_combination_4
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.12,1.52) node {$x$}; \draw (2.34,2.19) node {\small $-5$}; \draw (5.98,0.86) node {\small $5$}; \end{tikzpicture} \end{document}
example_9986_main
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.12,1.52) node {$x$}; \draw (2.34,2.19) node {\small $-5$}; \draw (5.98,0.86) node {\small $5$}; \draw (11.07,3.08) node {$t$}; \draw (9.5,0.6) node {\small $-10$}; \draw (12.5,5.1) node {\small $10$}; \draw (0,3.55) node {$u$}; \end{tikzpicture} \end{document}
example_9987_combination_8
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.15,1.5) node {$x$}; \draw (1.67,2.47) node {\small $-5$}; \draw (6.9,0.5) node {\small $5$}; \draw (11,3) node {$t$}; \draw (9.75,1.2) node {\small $-5$}; \draw (12.0,4.6) node {\small $5$}; \draw (0,4.1) node {$u$}; \end{tikzpicture} \end{document}
example_9987_combination_6
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.15,1.5) node {$x$}; \draw (1.67,2.47) node {\small $-5$}; \draw (6.9,0.5) node {\small $5$}; \draw (11,3) node {$t$}; \draw (9.75,1.2) node {\small $-5$}; \end{tikzpicture} \end{document}
example_9987_combination_1
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \end{tikzpicture} \end{document}
example_9987_combination_7
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.15,1.5) node {$x$}; \draw (1.67,2.47) node {\small $-5$}; \draw (6.9,0.5) node {\small $5$}; \draw (11,3) node {$t$}; \draw (9.75,1.2) node {\small $-5$}; \draw (12.0,4.6) node {\small $5$}; \end{tikzpicture} \end{document}
example_9987_combination_9
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.15,1.5) node {$x$}; \draw (1.67,2.47) node {\small $-5$}; \draw (6.9,0.5) node {\small $5$}; \draw (11,3) node {$t$}; \draw (9.75,1.2) node {\small $-5$}; \draw (12.0,4.6) node {\small $5$}; \draw (0,4.1) node {$u$}; \end{tikzpicture} \end{document}
example_9987_combination_4
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.15,1.5) node {$x$}; \draw (1.67,2.47) node {\small $-5$}; \draw (6.9,0.5) node {\small $5$}; \end{tikzpicture} \end{document}
example_9987_combination_3
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.15,1.5) node {$x$}; \draw (1.67,2.47) node {\small $-5$}; \end{tikzpicture} \end{document}
example_9987_combination_2
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.15,1.5) node {$x$}; \end{tikzpicture} \end{document}
example_9987_combination_5
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.15,1.5) node {$x$}; \draw (1.67,2.47) node {\small $-5$}; \draw (6.9,0.5) node {\small $5$}; \draw (11,3) node {$t$}; \end{tikzpicture} \end{document}
example_9987_main
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.15,1.5) node {$x$}; \draw (1.67,2.47) node {\small $-5$}; \draw (6.9,0.5) node {\small $5$}; \draw (11,3) node {$t$}; \draw (9.75,1.2) node {\small $-5$}; \draw (12.0,4.6) node {\small $5$}; \draw (0,4.1) node {$u$}; \end{tikzpicture} \end{document}
example_9988_combination_2
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.3,1.5) node {$x$}; \end{tikzpicture} \end{document}
example_9988_combination_5
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.3,1.5) node {$x$}; \draw (1.7,2.5) node {\small $-5$}; \draw (7.2,0.5) node {\small $5$}; \draw (11.2,2.7) node {$t$}; \end{tikzpicture} \end{document}
example_9988_combination_4
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.3,1.5) node {$x$}; \draw (1.7,2.5) node {\small $-5$}; \draw (7.2,0.5) node {\small $5$}; \end{tikzpicture} \end{document}
example_9988_combination_3
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.3,1.5) node {$x$}; \draw (1.7,2.5) node {\small $-5$}; \end{tikzpicture} \end{document}
example_9988_combination_7
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.3,1.5) node {$x$}; \draw (1.7,2.5) node {\small $-5$}; \draw (7.2,0.5) node {\small $5$}; \draw (11.2,2.7) node {$t$}; \draw (9.95,0.8) node {\small $-5$}; \draw (12.25,4.3) node {\small $5$}; \end{tikzpicture} \end{document}
example_9988_combination_9
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.3,1.5) node {$x$}; \draw (1.7,2.5) node {\small $-5$}; \draw (7.2,0.5) node {\small $5$}; \draw (11.2,2.7) node {$t$}; \draw (9.95,0.8) node {\small $-5$}; \draw (12.25,4.3) node {\small $5$}; \draw (0,3.8) node {$u$}; \end{tikzpicture} \end{document}
example_9988_combination_8
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.3,1.5) node {$x$}; \draw (1.7,2.5) node {\small $-5$}; \draw (7.2,0.5) node {\small $5$}; \draw (11.2,2.7) node {$t$}; \draw (9.95,0.8) node {\small $-5$}; \draw (12.25,4.3) node {\small $5$}; \draw (0,3.8) node {$u$}; \end{tikzpicture} \end{document}
example_9988_combination_6
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.3,1.5) node {$x$}; \draw (1.7,2.5) node {\small $-5$}; \draw (7.2,0.5) node {\small $5$}; \draw (11.2,2.7) node {$t$}; \draw (9.95,0.8) node {\small $-5$}; \end{tikzpicture} \end{document}
example_9988_combination_1
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \end{tikzpicture} \end{document}
example_9988_main
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (4.3,1.5) node {$x$}; \draw (1.7,2.5) node {\small $-5$}; \draw (7.2,0.5) node {\small $5$}; \draw (11.2,2.7) node {$t$}; \draw (9.95,0.8) node {\small $-5$}; \draw (12.25,4.3) node {\small $5$}; \draw (0,3.8) node {$u$}; \end{tikzpicture} \end{document}
example_9989_combination_5
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (7.65,0.3) node {$x$}; \draw (5.5,0.2) node {\small $-5$}; \draw (9.7,0.5) node {\small $5$}; \draw (10.3,4.2) node {$t$}; \end{tikzpicture} \end{document}
example_9989_combination_2
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (7.65,0.3) node {$x$}; \end{tikzpicture} \end{document}
example_9989_combination_3
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (7.65,0.3) node {$x$}; \draw (5.5,0.2) node {\small $-5$}; \end{tikzpicture} \end{document}
example_9989_combination_4
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (7.65,0.3) node {$x$}; \draw (5.5,0.2) node {\small $-5$}; \draw (9.7,0.5) node {\small $5$}; \end{tikzpicture} \end{document}
example_9989_combination_9
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (7.65,0.3) node {$x$}; \draw (5.5,0.2) node {\small $-5$}; \draw (9.7,0.5) node {\small $5$}; \draw (10.3,4.2) node {$t$}; \draw (12.3,2.5) node {\small $-10$}; \draw (8.8,5.55) node {\small $10$}; \draw (12.75,1.4) node {$u$}; \end{tikzpicture} \end{document}
example_9989_combination_7
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (7.65,0.3) node {$x$}; \draw (5.5,0.2) node {\small $-5$}; \draw (9.7,0.5) node {\small $5$}; \draw (10.3,4.2) node {$t$}; \draw (12.3,2.5) node {\small $-10$}; \draw (8.8,5.55) node {\small $10$}; \end{tikzpicture} \end{document}
example_9989_combination_1
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \end{tikzpicture} \end{document}
example_9989_combination_6
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (7.65,0.3) node {$x$}; \draw (5.5,0.2) node {\small $-5$}; \draw (9.7,0.5) node {\small $5$}; \draw (10.3,4.2) node {$t$}; \draw (12.3,2.5) node {\small $-10$}; \end{tikzpicture} \end{document}
example_9989_combination_8
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (7.65,0.3) node {$x$}; \draw (5.5,0.2) node {\small $-5$}; \draw (9.7,0.5) node {\small $5$}; \draw (10.3,4.2) node {$t$}; \draw (12.3,2.5) node {\small $-10$}; \draw (8.8,5.55) node {\small $10$}; \draw (12.75,1.4) node {$u$}; \end{tikzpicture} \end{document}
example_9989_main
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{tikz} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=127mm]{example-image}}; \draw (7.65,0.3) node {$x$}; \draw (5.5,0.2) node {\small $-5$}; \draw (9.7,0.5) node {\small $5$}; \draw (10.3,4.2) node {$t$}; \draw (12.3,2.5) node {\small $-10$}; \draw (8.8,5.55) node {\small $10$}; \draw (12.75,1.4) node {$u$}; \end{tikzpicture} \end{document}
example_9990_combination_7
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \draw (2.25,-.5) node[below] {$Z_j$}; \end{tikzpicture} \end{document}
example_9990_combination_9
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \draw (2.25,-.5) node[below] {$Z_j$}; \path (Q)+(1,1) node[below] {${\color{blue} P^1_{i,j}}$}; \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (z\i); \path (Q) + (+2,\i) coordinate (x\i); \path (Q) + (+4,\i) coordinate (x'\i); \draw (z\i) -- (x\i) -- (xi)--(x'\i); \draw (x\i) \vt; \draw (z\i) node[left] {$z_i^{\i}$}; } \path (2,-1) coordinate (Q); \end{tikzpicture} \end{document}
example_9990_combination_10
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \draw (2.25,-.5) node[below] {$Z_j$}; \path (Q)+(1,1) node[below] {${\color{blue} P^1_{i,j}}$}; \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (z\i); \path (Q) + (+2,\i) coordinate (x\i); \path (Q) + (+4,\i) coordinate (x'\i); \draw (z\i) -- (x\i) -- (xi)--(x'\i); \draw (x\i) \vt; \draw (z\i) node[left] {$z_i^{\i}$}; } \path (2,-1) coordinate (Q); \path (Q) + (-2,+2.5) coordinate (xj); \end{tikzpicture} \end{document}
example_9990_combination_8
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \draw (2.25,-.5) node[below] {$Z_j$}; \path (Q)+(1,1) node[below] {${\color{blue} P^1_{i,j}}$}; \end{tikzpicture} \end{document}
example_9990_combination_1
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \end{tikzpicture} \end{document}
example_9990_combination_6
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \end{tikzpicture} \end{document}
example_9990_combination_11
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \draw (2.25,-.5) node[below] {$Z_j$}; \path (Q)+(1,1) node[below] {${\color{blue} P^1_{i,j}}$}; \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (z\i); \path (Q) + (+2,\i) coordinate (x\i); \path (Q) + (+4,\i) coordinate (x'\i); \draw (z\i) -- (x\i) -- (xi)--(x'\i); \draw (x\i) \vt; \draw (z\i) node[left] {$z_i^{\i}$}; } \path (2,-1) coordinate (Q); \path (Q) + (-2,+2.5) coordinate (xj); \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (zz\i); \draw (zz\i) node[right] {$z_j^{\i}$}; \draw (zz\i)--(x'\i); } \draw[blue] (z1)--(x1)--(xi); \end{tikzpicture} \end{document}
example_9990_combination_15
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \draw (2.25,-.5) node[below] {$Z_j$}; \path (Q)+(1,1) node[below] {${\color{blue} P^1_{i,j}}$}; \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (z\i); \path (Q) + (+2,\i) coordinate (x\i); \path (Q) + (+4,\i) coordinate (x'\i); \draw (z\i) -- (x\i) -- (xi)--(x'\i); \draw (x\i) \vt; \draw (z\i) node[left] {$z_i^{\i}$}; } \path (2,-1) coordinate (Q); \path (Q) + (-2,+2.5) coordinate (xj); \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (zz\i); \draw (zz\i) node[right] {$z_j^{\i}$}; \draw (zz\i)--(x'\i); } \draw[blue] (z1)--(x1)--(xi); \draw[red] (xi)--(x'4)--(zz4); \path (.5,3) node[above] {${\color{red} Q^4_{i,j}}$}; \foreach \i in {1,2,3,4} { \draw (x'\i) \vt; \draw (z\i) \vt; \draw (zz\i) \vt; \draw (z\i) +(1,0) \vt; \draw (zz\i) +(-1,0) \vt; \draw (zz\i) +(-2,0) \vt; } \draw (xi) \vt; \end{tikzpicture} \end{document}
example_9990_combination_12
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \draw (2.25,-.5) node[below] {$Z_j$}; \path (Q)+(1,1) node[below] {${\color{blue} P^1_{i,j}}$}; \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (z\i); \path (Q) + (+2,\i) coordinate (x\i); \path (Q) + (+4,\i) coordinate (x'\i); \draw (z\i) -- (x\i) -- (xi)--(x'\i); \draw (x\i) \vt; \draw (z\i) node[left] {$z_i^{\i}$}; } \path (2,-1) coordinate (Q); \path (Q) + (-2,+2.5) coordinate (xj); \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (zz\i); \draw (zz\i) node[right] {$z_j^{\i}$}; \draw (zz\i)--(x'\i); } \draw[blue] (z1)--(x1)--(xi); \draw[red] (xi)--(x'4)--(zz4); \end{tikzpicture} \end{document}
example_9990_combination_5
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \end{tikzpicture} \end{document}
example_9990_combination_2
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \end{tikzpicture} \end{document}
example_9990_combination_13
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \draw (2.25,-.5) node[below] {$Z_j$}; \path (Q)+(1,1) node[below] {${\color{blue} P^1_{i,j}}$}; \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (z\i); \path (Q) + (+2,\i) coordinate (x\i); \path (Q) + (+4,\i) coordinate (x'\i); \draw (z\i) -- (x\i) -- (xi)--(x'\i); \draw (x\i) \vt; \draw (z\i) node[left] {$z_i^{\i}$}; } \path (2,-1) coordinate (Q); \path (Q) + (-2,+2.5) coordinate (xj); \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (zz\i); \draw (zz\i) node[right] {$z_j^{\i}$}; \draw (zz\i)--(x'\i); } \draw[blue] (z1)--(x1)--(xi); \draw[red] (xi)--(x'4)--(zz4); \path (.5,3) node[above] {${\color{red} Q^4_{i,j}}$}; \end{tikzpicture} \end{document}
example_9990_combination_14
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \draw (2.25,-.5) node[below] {$Z_j$}; \path (Q)+(1,1) node[below] {${\color{blue} P^1_{i,j}}$}; \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (z\i); \path (Q) + (+2,\i) coordinate (x\i); \path (Q) + (+4,\i) coordinate (x'\i); \draw (z\i) -- (x\i) -- (xi)--(x'\i); \draw (x\i) \vt; \draw (z\i) node[left] {$z_i^{\i}$}; } \path (2,-1) coordinate (Q); \path (Q) + (-2,+2.5) coordinate (xj); \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (zz\i); \draw (zz\i) node[right] {$z_j^{\i}$}; \draw (zz\i)--(x'\i); } \draw[blue] (z1)--(x1)--(xi); \draw[red] (xi)--(x'4)--(zz4); \path (.5,3) node[above] {${\color{red} Q^4_{i,j}}$}; \foreach \i in {1,2,3,4} { \draw (x'\i) \vt; \draw (z\i) \vt; \draw (zz\i) \vt; \draw (z\i) +(1,0) \vt; \draw (zz\i) +(-1,0) \vt; \draw (zz\i) +(-2,0) \vt; } \draw (xi) \vt; \end{tikzpicture} \end{document}
example_9990_combination_3
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \end{tikzpicture} \end{document}
example_9990_combination_4
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \end{tikzpicture} \end{document}
example_9990_main
\documentclass[11pt]{article} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz,pgfmath} \begin{document} \begin{tikzpicture}[scale =1] \def \vt{circle (1.5pt) [fill]} \path (-5,-1) coordinate (Q); \draw (Q)++(-.75,+.5) rectangle +(1,4); \path (Q)+(3,2.5) coordinate (xi) \vt; \draw (xi)+(.02,-.6) node {$x_{i,j}$}; \draw (Q)+(-.25,+.5) node[below] {$Z_i$}; \draw (2.75,-.5) rectangle (1.75,3.5); \draw (2.25,-.5) node[below] {$Z_j$}; \path (Q)+(1,1) node[below] {${\color{blue} P^1_{i,j}}$}; \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (z\i); \path (Q) + (+2,\i) coordinate (x\i); \path (Q) + (+4,\i) coordinate (x'\i); \draw (z\i) -- (x\i) -- (xi)--(x'\i); \draw (x\i) \vt; \draw (z\i) node[left] {$z_i^{\i}$}; } \path (2,-1) coordinate (Q); \path (Q) + (-2,+2.5) coordinate (xj); \foreach \i in {1,2,3,4} { \path (Q) + (0,\i) coordinate (zz\i); \draw (zz\i) node[right] {$z_j^{\i}$}; \draw (zz\i)--(x'\i); } \draw[blue] (z1)--(x1)--(xi); \draw[red] (xi)--(x'4)--(zz4); \path (.5,3) node[above] {${\color{red} Q^4_{i,j}}$}; \foreach \i in {1,2,3,4} { \draw (x'\i) \vt; \draw (z\i) \vt; \draw (zz\i) \vt; \draw (z\i) +(1,0) \vt; \draw (zz\i) +(-1,0) \vt; \draw (zz\i) +(-2,0) \vt; } \draw (xi) \vt; \end{tikzpicture} \end{document}
example_9991_main
\documentclass[fontsize=9pt]{llncs} \usepackage{amsmath,amsfonts} \usepackage{tikz} \usetikzlibrary{trees} \usetikzlibrary{decorations.pathmorphing} \usetikzlibrary{decorations.markings} \usetikzlibrary{decorations.pathmorphing,shapes} \usetikzlibrary{calc,decorations.pathmorphing,shapes} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amssymb} \usetikzlibrary{trees, arrows, shapes, snakes} \tikzset{ treenode/.style = {align=center, inner sep=2pt, text centered, font=\sffamily}, arn_r/.style = {treenode, circle, black, font=\sffamily\bfseries, draw=black, text width=1.5em}, arn_t/.style = {treenode, circle, black, thick, double, font=\sffamily\bfseries, draw=black, text width=1.5em}, every edge/.append style={anchor=south,auto=falseanchor=south,auto=false,font=3.5 em}, } \begin{document} \begin{tikzpicture}[xscale=0.6] \foreach \x/\c in {0/i,3/j_0,9.1/j_e,9/,13/i+m-1}{ \draw (\x,0) node[above] {$\c$}; } %%% Arrows %%% \draw[-latex] (0,0.7) -- (2.4,0.7); \draw[-latex,decorate,decoration={snake,amplitude=.4mm,segment length=2mm}] (3.8,0.7) -- (8.4,0.7); \draw[-latex] (10,0.7) -- (13,0.7); %%% Letters and X %%% \draw (3.1,0.45) node[above] {$a_0$}; \draw (9.1,0.45) node[above] {$a_e$}; \draw (10.3,0.7) node[above] {$X$}; \draw (11.3,0.7) node[above] {$X$}; \draw (12.3,0.7) node[above] {$X$}; \draw (13.3,0.7) node[above] {$X$}; %%% Bracket %%% \draw[snake=brace] (10,1.2) -- node[above] {$p$} (13.6,1.2); \end{tikzpicture} \end{document}
example_9992_main
\documentclass[reprint, amsmath,amssymb, aps,pra,]{revtex4-1} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-4.3,-4.5) rectangle (4.3,4.5); \node[inner sep=0pt] (russell) at (0,0) {\includegraphics[width=0.45\textwidth]{example-image}}; \end{tikzpicture} \end{document}
example_9993_main
\documentclass[reprint, amsmath,amssymb, aps,pra,]{revtex4-1} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-4.2,-4.5) rectangle (4.2,4.5); \node[inner sep=0pt] (russell) at (0,0) {\includegraphics[width=0.4\textwidth]{example-image}}; \end{tikzpicture} \end{document}
example_9994_main
\documentclass[reprint, amsmath,amssymb, aps,pra,]{revtex4-1} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-4,-2.0) rectangle (4,2.0); \node[inner sep=0pt] (russell) at (0,0) {\includegraphics[width=0.3\textwidth]{example-image}}; \end{tikzpicture} \end{document}
example_9995_main
\documentclass[reprint, amsmath,amssymb, aps,pra,]{revtex4-1} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-4.2,-3.0) rectangle (4.2,3.0); \node[inner sep=0pt] (russell) at (0,0) {\includegraphics[width=0.45\textwidth]{example-image}}; \end{tikzpicture} \end{document}
example_9996_main
\documentclass[reprint, amsmath,amssymb, aps,pra,]{revtex4-1} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-4.2,-4.5) rectangle (4.2,4.5); \node[inner sep=0pt] (russell) at (0,0) {\includegraphics[width=0.45\textwidth]{example-image}}; \end{tikzpicture} \end{document}
example_9997_main
\documentclass[reprint, amsmath,amssymb, aps,pra,]{revtex4-1} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-4.2,-3.0) rectangle (4.2,3.0); \node[inner sep=0pt] (russell) at (0,0) {\includegraphics[width=0.45\textwidth]{example-image}}; \end{tikzpicture} \end{document}
example_9998_main
\documentclass[reprint, amsmath,amssymb, aps,pra,]{revtex4-1} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-4.2,-3.0) rectangle (4.2,3.0); \node[inner sep=0pt] (russell) at (0,0) {\includegraphics[width=0.45\textwidth]{example-image}}; \end{tikzpicture} \end{document}
example_9999_main
\documentclass[reprint, amsmath,amssymb, aps,pra,]{revtex4-1} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-8.5,-5.5) rectangle (8.5,5.5); \node[inner sep=0pt] (russell) at (0,0) {\includegraphics[width=0.9\textwidth]{example-image}}; \end{tikzpicture} \end{document}