id
stringlengths 18
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imagewidth (px) 384
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stringlengths 147
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example_15000_combination_28 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_26 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_13 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_1 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15000_combination_12 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\end{tikzpicture}
\end{document} |
|
example_15000_combination_15 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_20 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_27 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_29 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (30:0.8)$);
%-----
\foreach \n in {0,2,...,10}{
\path ($(1+ \n,3.5) + (75:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-75:0.8)$);
\path ($(1 + \n,3.5) + (70:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-70:0.8)$);
\path ($(1 + \n,3.5) + (65:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-65:0.8)$);
\path ($(1 + \n,3.5) + (60:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-60:0.8)$);
\path ($(1 + \n,3.5) + (55:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-55:0.8)$);
\node[color = blue, rotate = -17] at (1.4 + \n,4.45) {\footnotesize{$\overbrace{\phantom{}}^{n-1}$}};
\path ($(1 + \n,3.5) + (180:0.8)$) edge[color = brown] ($(1 + \n,3.5) + (0:0.8)$);
}
\end{tikzpicture}
\end{document} |
|
example_15000_combination_16 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_24 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_23 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_2 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\end{tikzpicture}
\end{document} |
|
example_15000_combination_5 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15000_combination_25 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_10 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\end{tikzpicture}
\end{document} |
|
example_15000_combination_17 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_19 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15000_combination_4 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\end{tikzpicture}
\end{document} |
|
example_15000_combination_3 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15000_main | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (30:0.8)$);
%-----
\foreach \n in {0,2,...,10}{
\path ($(1+ \n,3.5) + (75:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-75:0.8)$);
\path ($(1 + \n,3.5) + (70:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-70:0.8)$);
\path ($(1 + \n,3.5) + (65:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-65:0.8)$);
\path ($(1 + \n,3.5) + (60:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-60:0.8)$);
\path ($(1 + \n,3.5) + (55:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-55:0.8)$);
\node[color = blue, rotate = -17] at (1.4 + \n,4.45) {\footnotesize{$\overbrace{\phantom{}}^{n-1}$}};
\path ($(1 + \n,3.5) + (180:0.8)$) edge[color = brown] ($(1 + \n,3.5) + (0:0.8)$);
}
\end{tikzpicture}
\end{document} |
|
example_15001_combination_28 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_26 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_14 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_6 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\end{tikzpicture}
\end{document} |
|
example_15001_combination_1 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15001_combination_27 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_20 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_29 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (30:0.8)$);
%-----
\foreach \n in {0,2,...,10}{
\path ($(1+ \n,3.5) + (171:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (11:0.8)$);
\path ($(1 + \n,3.5) + (176:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (6:0.8)$);
\path ($(1 + \n,3.5) + (181:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (1:0.8)$);
\path ($(1 + \n,3.5) + (186:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-4:0.8)$);
\path ($(1 + \n,3.5) + (191:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-9:0.8)$);
\node[color = blue] at (0.14+\n,3.475) {$\mathbf{\lbrace }$};
\node[color = blue] at (0.04+\n,3.33) {\footnotesize{$n$}};
}
\end{tikzpicture}
\end{document} |
|
example_15001_combination_9 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15001_combination_7 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15001_combination_4 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\end{tikzpicture}
\end{document} |
|
example_15001_combination_3 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15001_combination_18 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_11 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15001_combination_16 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_23 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_24 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_25 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_17 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_combination_19 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15001_main | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (1.95,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (3.95,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (5.95,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (7.95,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (9.95,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (30:0.8)$);
%-----
\foreach \n in {0,2,...,10}{
\path ($(1+ \n,3.5) + (171:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (11:0.8)$);
\path ($(1 + \n,3.5) + (176:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (6:0.8)$);
\path ($(1 + \n,3.5) + (181:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (1:0.8)$);
\path ($(1 + \n,3.5) + (186:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-4:0.8)$);
\path ($(1 + \n,3.5) + (191:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-9:0.8)$);
\node[color = blue] at (0.14+\n,3.475) {$\mathbf{\lbrace }$};
\node[color = blue] at (0.04+\n,3.33) {\footnotesize{$n$}};
}
\end{tikzpicture}
\end{document} |
|
example_15002_combination_7 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15002_combination_20 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_27 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-330:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-30:0.8)$);
%
\path ($(11,3.5) + (30:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_29 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-330:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-30:0.8)$);
%
\path ($(11,3.5) + (30:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (330:0.8)$);
%-----
\foreach \n in {0,2,...,10}{
\path ($(1+ \n,3.5) + (171:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (11:0.8)$);
\path ($(1 + \n,3.5) + (176:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (6:0.8)$);
\path ($(1 + \n,3.5) + (181:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (1:0.8)$);
\path ($(1 + \n,3.5) + (186:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-4:0.8)$);
\path ($(1 + \n,3.5) + (191:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-9:0.8)$);
\node[color = blue] at (0.14+\n,3.475) {$\mathbf{\lbrace }$};
\node[color = blue] at (0.04+\n,3.33) {\footnotesize{$n$}};
\path ($(1 + \n,3.5) + (75:0.8)$) edge[color = brown] ($(1 + \n,3.5) + (-75:0.8)$);
}
\end{tikzpicture}
\end{document} |
|
example_15002_combination_15 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_14 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_13 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_8 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\end{tikzpicture}
\end{document} |
|
example_15002_combination_1 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15002_combination_26 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-330:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-30:0.8)$);
%
\path ($(11,3.5) + (30:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_6 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\end{tikzpicture}
\end{document} |
|
example_15002_combination_17 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_19 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_5 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15002_combination_22 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_25 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-330:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-30:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_3 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15002_combination_24 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-330:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_23 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\end{tikzpicture}
\end{document} |
|
example_15002_combination_11 | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document} |
|
example_15002_main | \documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {.};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-330:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-30:0.8)$);
%
\path ($(11,3.5) + (30:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (330:0.8)$);
%-----
\foreach \n in {0,2,...,10}{
\path ($(1+ \n,3.5) + (171:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (11:0.8)$);
\path ($(1 + \n,3.5) + (176:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (6:0.8)$);
\path ($(1 + \n,3.5) + (181:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (1:0.8)$);
\path ($(1 + \n,3.5) + (186:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-4:0.8)$);
\path ($(1 + \n,3.5) + (191:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-9:0.8)$);
\node[color = blue] at (0.14+\n,3.475) {$\mathbf{\lbrace }$};
\node[color = blue] at (0.04+\n,3.33) {\footnotesize{$n$}};
\path ($(1 + \n,3.5) + (75:0.8)$) edge[color = brown] ($(1 + \n,3.5) + (-75:0.8)$);
}
\end{tikzpicture}
\end{document} |
|
example_15003_main | \documentclass[preprint]{elsarticle}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tkz-euclide}
\begin{document}
\begin{tikzpicture}[scale=0.6]
% main body
\draw[thick] (-6,0)--(0,0);
\draw[thick] (-6,1)--(0,1);
\draw[thick] (-6,0)--(-6,1);
\draw[thick] (0,0)--(0,1);
\draw[thick] (0,0)--(5,3);
\draw[thick] (0,1)--(5,4);
\draw[thick] (5,3)--(5,4);
\draw[thick] (-6,1)--(-1,4);
\draw[thick] (5,4)--(-1,4);
\draw[thick] (5,4)--(-1,4);
% exterior cuts
\draw[thick,blue] (-4,1.5)--(-2.25,1.5);
\draw[thick,blue,->] (-0.5,1.5)--(-2.25,1.5);
\draw[thick,blue] (-4,1.5)--(-4+0.8*5/3,1.5+0.8*1); %diag
\draw[thick,blue] (-0.5,1.5)--(-0.5+0.8*5/3,1.5+0.8*1); %diag
\draw[thick,blue] (-4+0.8*5/3,1.5+0.8*1)--(-0.5+0.8*5/3,1.5+0.8*1);
\node[blue] at (-3.65,2.4) [anchor=north]{\small{$\gamma_1$}};
\draw[thick] (-4+0.8*5/3,1.5+0.8*1)--(-4+0.8*5/3,1.5);
\fill[orange,fill opacity=0.1] (-4,1.5)--(-0.5,1.5)--(-0.5+0.8*5/3,1.5+0.8*1)--(-4+0.8*5/3,1.5+0.8*1);
\node at (-1.5,2.3) [anchor=north]{\small{$\Sigma'_1$}};
\draw[thick,blue] (-4+1.3*5/3,1.5+1.3*1)--(-2.25+1.3*5/3,1.5+1.3*1);
\draw[thick,blue] (-4+2.1*5/3,1.5+2.1*1)--(-0.5+2.1*5/3,1.5+2.1*1);
\draw[thick,blue] (-4+1.3*5/3,1.5+1.3*1)--(-4+2.1*5/3,1.5+2.1*1); %diag
\draw[thick,blue] (-0.5+1.3*5/3,1.5+1.3*1)--(-0.5+2.1*5/3,1.5+2.1*1); %diag
\draw[thick,blue,->] (-0.5+1.3*5/3,1.5+1.3*1)--(-2.25+1.3*5/3,1.5+1.3*1);
\node[blue] at (-1.61,3.65) [anchor=north]{\small{$\gamma_2$}};
\draw[thick] (-4+2.1*5/3,1.5+2.1*1)--(-4+2.1*5/3,1.5+1.3*1);
\fill[orange,fill opacity=0.1] (-4+1.3*5/3,1.5+1.3*1)--(-0.5+1.3*5/3,1.5+1.3*1)--(-0.5+2.1*5/3,1.5+2.1*1)--(-4+2.1*5/3,1.5+2.1*1);
\node at (0.6,3.7) [anchor=north]{\small{$\Sigma'_2$}};
% interior cuts
\draw[thick,red] (-0.5+0.4*5/3,1.5+0.4*1)--(0.15+0.4*5/3,1.5+0.4*1);
\draw[thick,red,->] (0.8+0.4*5/3,1.5+0.4*1)--(0.15+0.4*5/3,1.5+0.4*1);
\draw[thick,red] (0.8+0.4*5/3,1.5+0.4*1-1)--(0.8+0.4*5/3,1.5+0.4*1);
\draw[thick,red,dashed] (-0.5+0.4*5/3,1.5+0.4*1)-- (-0.5+0.4*5/3,1.5+0.4*1-1);
\draw[thick,red,dashed] (-0.5+0.4*5/3,1.5+0.4*1-1)--(0.8+0.4*5/3,1.5+0.4*1-1);
\fill[cyan,fill opacity=0.1] (-0.5+0.4*5/3,1.5+0.4*1)--(0.8+0.4*5/3,1.5+0.4*1)--(0.8+0.4*5/3,1.5+0.4*1-1)--(-0.5+0.4*5/3,1.5+0.4*1-1);
\node at (1,1.65) [anchor=north]{\small{$\Sigma_1$}};
\node[red] at (1.8,1.95) [anchor=north]{\small{$\gamma'_1$}};
\draw[thick,red] (-0.5+1.65*5/3,1.5+1.65*1)--(0.155+1.65*5/3,1.5+1.65*1);
\draw[thick,red,->] (0.81+1.65*5/3,1.5+1.65*1)--(0.155+1.65*5/3,1.5+1.65*1);
\draw[thick,red,] (0.81+1.65*5/3,1.5+1.65*1-1)--(0.81+1.65*5/3,1.5+1.65*1);
\draw[thick,red,dashed] (-0.5+1.65*5/3,1.5+1.65*1)--(-0.5+1.65*5/3,1.5+1.65*1-1);
\draw[thick,red,dashed] (-0.5+1.65*5/3,1.5+1.65*1-1)-- (0.81+1.65*5/3,1.5+1.65*1-1);
\fill[cyan,fill opacity=0.1] (-0.5+1.65*5/3,1.5+1.65*1-1)-- (0.81+1.65*5/3,1.5+1.65*1-1)--(0.81+1.65*5/3,1.5+1.65*1)--(-0.5+1.65*5/3,1.5+1.65*1);
\node at (3.1,2.85) [anchor=north]{\small{$\Sigma_2$}};
\node[red] at (3.85,3.15) [anchor=north]{\small{$\gamma'_2$}};
\end{tikzpicture}
\end{document} |
|
example_15004_main | \documentclass[preprint]{elsarticle}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tkz-euclide}
\begin{document}
\begin{tikzpicture}[scale=0.6]
% part a
\draw [fill=blue, opacity=0.1] (0,0) ellipse (1.5cm and 1cm);
\draw [thick] (3,0) ellipse (1.5cm and 1.5cm);
\draw [thick] (-3,0) ellipse (1.5cm and 1.5cm);
\draw [thick] (3,0) ellipse (0.5cm and 0.5cm);
\draw [fill=blue, opacity=0.1] (-3,0) ellipse (0.5cm and 0.5cm);
\draw[black, thick] (-3.5,0) arc(-180:-220:3.5cm and 2.3cm);
\draw[black, thick] (3.5,0) arc(-360:-320:3.5cm and 2.3cm);
\draw[black, thick,dashed] (-3.5,0) arc(-180:-360:3.5cm and 2.3cm);
\draw[black, thick,dashed] (-2.5,0) arc(-180:-360:2.5cm and 1.6cm);
\draw[black, thick] (-2.5,0) arc(-180:-220:2.5cm and 1.6cm);
\draw[black, thick] (2.5,0) arc(-360:-320:2.5cm and 1.6cm);
\draw[black, thick] (-4.5,0) arc(-180:-360:4.5cm and 3cm);
\draw[red, thick] (-1.5,0) arc(-180:-360:1.5cm and 1.cm);
\draw[black, thick,densely dotted] (-2.5,0) arc(-180:0:2.5cm and 1.6cm);
\draw[
red,thick,decoration={markings, mark=at position 0.625 with {\arrow{>}}},
postaction={decorate}
]
(-3,0) ellipse (0.5cm and 0.5cm);
\draw[
red,thick,densely dotted,decoration={markings, mark=at position 0.625 with {\arrow{>}}},
postaction={decorate}
]
(0,0) ellipse (1.5cm and 1cm);
\node at (-3,0) {\small{$\Sigma'_2$}};
\node at (0,0) {\small{$\Sigma'_1$}};
\node[red] at (0,-1.3) {\small{$\gamma_1$}};
\node[red] at (-3,-0.8) {\small{$\gamma_2$}};
% part b
\draw [fill=orange, opacity=0.1] (-3,-6) ellipse (1.5cm and 1.5cm);
\draw [fill=white] (-3,-6) ellipse (0.5cm and 0.5cm);
\draw[black, thick] (-3.5,-6) arc(-180:-220:3.5cm and 2.3cm);
\draw[black, thick] (3.5,-6) arc(-360:-320:3.5cm and 2.3cm);
\draw[black, thick,dashed] (-3.5,-6) arc(-180:-360:3.5cm and 2.3cm);
\draw[black, thick,dashed] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);
\draw[black, thick] (-2.5,-6) arc(-180:-220:2.5cm and 1.6cm);
\draw[black, thick] (2.5,-6) arc(-360:-320:2.5cm and 1.6cm);
\draw[black, thick] (-4.5,-6) arc(-180:-360:4.5cm and 3cm);
\draw[draw=none,fill=orange,opacity=0.1] (-2.5,-6) arc(-180:180:2.5cm and 1.6cm);
\draw [fill=white,draw=none] (0,-6) ellipse (1.5cm and 1cm);
\draw[
blue,thick,decoration={markings, mark=at position 0.625 with {\arrow{<}}},
postaction={decorate}
]
(-3,-6) ellipse (0.5cm and 0.5cm);
\draw[
blue,thick,densely dotted,decoration={markings, mark=at position 0.625 with {\arrow{<}}},
postaction={decorate}
]
(0,-6) ellipse (1.5cm and 1cm);
\draw[
blue,thick,densely dotted,decoration={markings, mark=at position 0.625 with {\arrow{>}}},
postaction={decorate}
]
(0,-6) ellipse (2.5cm and 1.6cm);
\draw[white, very thick] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);
\draw[blue, thick,dashed] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);
\draw[blue, thick] (-2.5,-6) arc(-180:-221:2.5cm and 1.6cm);
\draw[blue, thick] (2.5,-6) arc(-360:-320:2.5cm and 1.6cm);
\draw[blue, thick] (-1.5,-6) arc(-180:-360:1.5cm and 1cm);
\draw[
blue,thick,decoration={markings, mark=at position 0.625 with {\arrow{>}}},
postaction={decorate}
]
(-3,-6) ellipse (1.5cm and 1.5cm);
\draw [thick] (3,-6) ellipse (1.5cm and 1.5cm);
\draw [thick] (3,-6) ellipse (0.5cm and 0.5cm);
\node at (0,-4.725) {\small{$\Sigma_2$}};
\node at (-3.9,-6) {\small{$\Sigma_1$}};
\node[blue] at (-2,-8) {\small{$\gamma'_1$}};
\draw[thick,->] (-2.2,-7.9) -- (-3,-7.5);
\draw[thick,->] (-2.2,-7.9) -- (-3,-6.5);
\node[blue] at (2,-8) {\small{$\gamma'_2$}};
\draw[thick,->] (1.8,-7.9) -- (0,-7.6);
\draw[thick,->] (1.8,-7.9) -- (0,-7);
\node at (-4,-2) {(a)};
\node at (-4,-8) {(b)};
\end{tikzpicture}
\end{document} |
|
example_15005_combination_1 | \documentclass[a4paper,11pt]{report}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgfplots}
\usepackage{color}
\pgfplotsset{width=10cm,compat=1.9}
\begin{document}
\begin{tikzpicture}
\begin{axis}[scatter/classes={
a1={mark=square*,blue},%
a2={mark=triangle*,blue},%
b1={mark=square*,red},%
b2={mark=triangle*,red},%
c1={mark=square*,green},%
c2={mark=triangle*,green}},
legend style={at={(1.35,0.7)},
anchor=north},
xtick=data,
ylabel={Balanced Accuracy},
xlabel={Number of traces}]
\addplot[scatter,only marks,
scatter src=explicit symbolic] coordinates {
(8,51) [a1]
(8,51) [a2]
(16,51) [a1]
(16,51) [a2]
(24,51) [a1]
(24,51) [a2]
(8,67) [b1]
(8,66) [b2]
(16,70) [b1]
(16,65) [b2]
(24,70) [b1]
(24,65) [b2]
(8,73) [c1]
(8,73) [c2]
(16,50) [c1]
(16,50) [c2]
(24,50) [c1]
(24,50) [c2]
};
\legend{\ \ \ \ \ Metagol tested on Random,\ \ \ Metagol tested on Sancho,\ \ Aleph tested on Random,Aleph tested on Sancho, \ \ \ ILASP tested on Random,\ ILASP tested on Sancho,d}
\end{axis}
\end{tikzpicture}
\end{document} |
|
example_15005_main | \documentclass[a4paper,11pt]{report}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgfplots}
\usepackage{color}
\pgfplotsset{width=10cm,compat=1.9}
\begin{document}
\begin{tikzpicture}
\begin{axis}[scatter/classes={
a1={mark=square*,blue},%
a2={mark=triangle*,blue},%
b1={mark=square*,red},%
b2={mark=triangle*,red},%
c1={mark=square*,green},%
c2={mark=triangle*,green}},
legend style={at={(1.35,0.7)},
anchor=north},
xtick=data,
ylabel={Balanced Accuracy},
xlabel={Number of traces}]
\addplot[scatter,only marks,
scatter src=explicit symbolic] coordinates {
(8,51) [a1]
(8,51) [a2]
(16,51) [a1]
(16,51) [a2]
(24,51) [a1]
(24,51) [a2]
(8,67) [b1]
(8,66) [b2]
(16,70) [b1]
(16,65) [b2]
(24,70) [b1]
(24,65) [b2]
(8,73) [c1]
(8,73) [c2]
(16,50) [c1]
(16,50) [c2]
(24,50) [c1]
(24,50) [c2]
};
\legend{\ \ \ \ \ Metagol tested on Random,\ \ \ Metagol tested on Sancho,\ \ Aleph tested on Random,Aleph tested on Sancho, \ \ \ ILASP tested on Random,\ ILASP tested on Sancho,d}
\end{axis}
\end{tikzpicture}
\end{document} |
|
example_15006_main | \documentclass[reprint,aip,onecolumn,nofootinbib]{revtex4-2}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage[colorlinks=true]{hyperref}
\usepackage[dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}[thick,scale=0.5]
\fill[Blue!10!White] (-4,4) -- (0,0) -- (4,4) .. controls +(2,2) and +(-2,2) .. (-4,4);
\draw[Red] (-5,-1.5) -- (5,1.5) node [above left] {$\mathcal{N}_x$};
\draw[Red] (-5,1.5) -- (5,-1.5);
\draw[Red] (-4,-4) -- (4,4);
\draw[Red] (-4,4) -- (4,-4);
\draw[Green] (-3.5,4) .. controls +(3.5,-3.5) and +(-3.5,-3.5) .. (3.5,4) node [above left] {$\mathcal{O}_x$};
\draw[Green] (-3.5,4) .. controls +(1.5,-1.5) and +(-1.5,-1.5) .. (3.5,4) .. controls +(1.5,1.5) and +(-1.5,1.5) .. (-3.5,4);
\draw[Red] (-4,4) .. controls +(2,-2) and +(-2,-2) .. (4,4) .. controls +(2,2) and +(-2,2) .. (-4,4);
\draw[Red] (-3.5,3.5) .. controls +(-2,-0.5) and +(-1,0.3) .. (-5,1.5) .. controls +(2,-0.6) and +(-2,-0.6) .. (5,1.5) .. controls +(1,0.3) and +(2,-0.5) .. (3.5,3.5);
\draw[Blue] (0,4) node {$\mathcal{T}_x$};
\end{tikzpicture}
\end{document} |
|
example_15007_combination_9 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0,1);
\coordinate (d) at (1,1);
\coordinate (e) at (0,2);
\coordinate (f) at (-1,-1);
\draw (f) node[left] {1\,}-- (a) node[below right]{3}-- (b) node[below right]{5} -- (d) node[right]{\,2} --(e) node[above]{4} -- (c) node[left]{6\,} -- (a);
\draw (f) to [out=90,in=-135] (e);
\fill (a) circle (2.5pt);\fill (b) circle (2.5pt);\fill (c) circle (2.5pt);
\end{tikzpicture}
\end{document} |
|
example_15007_combination_7 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0,1);
\coordinate (d) at (1,1);
\coordinate (e) at (0,2);
\coordinate (f) at (-1,-1);
\draw (f) node[left] {1\,}-- (a) node[below right]{3}-- (b) node[below right]{5} -- (d) node[right]{\,2} --(e) node[above]{4} -- (c) node[left]{6\,} -- (a);
\end{tikzpicture}
\end{document} |
|
example_15007_combination_6 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0,1);
\coordinate (d) at (1,1);
\coordinate (e) at (0,2);
\coordinate (f) at (-1,-1);
\end{tikzpicture}
\end{document} |
|
example_15007_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\end{tikzpicture}
\end{document} |
|
example_15007_combination_8 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0,1);
\coordinate (d) at (1,1);
\coordinate (e) at (0,2);
\coordinate (f) at (-1,-1);
\draw (f) node[left] {1\,}-- (a) node[below right]{3}-- (b) node[below right]{5} -- (d) node[right]{\,2} --(e) node[above]{4} -- (c) node[left]{6\,} -- (a);
\draw (f) to [out=90,in=-135] (e);
\end{tikzpicture}
\end{document} |
|
example_15007_combination_10 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0,1);
\coordinate (d) at (1,1);
\coordinate (e) at (0,2);
\coordinate (f) at (-1,-1);
\draw (f) node[left] {1\,}-- (a) node[below right]{3}-- (b) node[below right]{5} -- (d) node[right]{\,2} --(e) node[above]{4} -- (c) node[left]{6\,} -- (a);
\draw (f) to [out=90,in=-135] (e);
\fill (a) circle (2.5pt);\fill (b) circle (2.5pt);\fill (c) circle (2.5pt);
\fill (d) circle (2.5pt);\fill (e) circle (2.5pt);\fill (f) circle (2.5pt);
\end{tikzpicture}
\end{document} |
|
example_15007_combination_2 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\end{tikzpicture}
\end{document} |
|
example_15007_combination_5 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0,1);
\coordinate (d) at (1,1);
\coordinate (e) at (0,2);
\end{tikzpicture}
\end{document} |
|
example_15007_combination_11 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0,1);
\coordinate (d) at (1,1);
\coordinate (e) at (0,2);
\coordinate (f) at (-1,-1);
\draw (f) node[left] {1\,}-- (a) node[below right]{3}-- (b) node[below right]{5} -- (d) node[right]{\,2} --(e) node[above]{4} -- (c) node[left]{6\,} -- (a);
\draw (f) to [out=90,in=-135] (e);
\fill (a) circle (2.5pt);\fill (b) circle (2.5pt);\fill (c) circle (2.5pt);
\fill (d) circle (2.5pt);\fill (e) circle (2.5pt);\fill (f) circle (2.5pt);
\end{tikzpicture}
\end{document} |
|
example_15007_combination_4 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0,1);
\coordinate (d) at (1,1);
\end{tikzpicture}
\end{document} |
|
example_15007_combination_3 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0,1);
\end{tikzpicture}
\end{document} |
|
example_15007_main | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0,1);
\coordinate (d) at (1,1);
\coordinate (e) at (0,2);
\coordinate (f) at (-1,-1);
\draw (f) node[left] {1\,}-- (a) node[below right]{3}-- (b) node[below right]{5} -- (d) node[right]{\,2} --(e) node[above]{4} -- (c) node[left]{6\,} -- (a);
\draw (f) to [out=90,in=-135] (e);
\fill (a) circle (2.5pt);\fill (b) circle (2.5pt);\fill (c) circle (2.5pt);
\fill (d) circle (2.5pt);\fill (e) circle (2.5pt);\fill (f) circle (2.5pt);
\end{tikzpicture}
\end{document} |
|
example_15008_main | \documentclass[journal]{IEEEtran}
\usepackage{amsmath,epsfig,color}
\usepackage[dvipsnames]{xcolor}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz,xcolor,hyperref}
\DeclareRobustCommand{\orcidicon}{%
\begin{tikzpicture}
\draw[lime, fill=lime] (0,0)
circle [radius=0.16]
node[white] {{\fontfamily{qag}\selectfont \tiny ID}};
\draw[white, fill=white] (-0.0625,0.095)
circle [radius=0.007];
\end{tikzpicture}
\hspace{-2mm}
}
\begin{document}
\begin{tikzpicture}
\draw[lime, fill=lime] (0,0)
circle [radius=0.16]
node[white] {{\fontfamily{qag}\selectfont \tiny ID}};
\draw[white, fill=white] (-0.0625,0.095)
circle [radius=0.007];
\end{tikzpicture}
\end{document} |
|
example_15009_combination_7 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
\end{tikzpicture}
\end{document} |
|
example_15009_combination_9 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\node[left] at (O2){$4$};
\end{tikzpicture}
\end{document} |
|
example_15009_combination_10 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\node[left] at (O2){$4$};
\node[left] at (O3){$5$};
\end{tikzpicture}
\end{document} |
|
example_15009_combination_17 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\node[left] at (O2){$4$};
\node[left] at (O3){$5$};
\node[left] at (O4){$3$};
\node[right] at (O5){$4$};
\node[right] at (O6){$5$};
\node[left] at (I1){$0$};
\node[left] at (I2){$1$};
\node[below] at (I3){$2\quad$};
\end{tikzpicture}
\end{document} |
|
example_15009_combination_8 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\end{tikzpicture}
\end{document} |
|
example_15009_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\end{tikzpicture}
\end{document} |
|
example_15009_combination_6 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\end{tikzpicture}
\end{document} |
|
example_15009_combination_16 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\node[left] at (O2){$4$};
\node[left] at (O3){$5$};
\node[left] at (O4){$3$};
\node[right] at (O5){$4$};
\node[right] at (O6){$5$};
\node[left] at (I1){$0$};
\node[left] at (I2){$1$};
\node[below] at (I3){$2\quad$};
\end{tikzpicture}
\end{document} |
|
example_15009_combination_11 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\node[left] at (O2){$4$};
\node[left] at (O3){$5$};
\node[left] at (O4){$3$};
\end{tikzpicture}
\end{document} |
|
example_15009_combination_12 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\node[left] at (O2){$4$};
\node[left] at (O3){$5$};
\node[left] at (O4){$3$};
\node[right] at (O5){$4$};
\end{tikzpicture}
\end{document} |
|
example_15009_combination_15 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\node[left] at (O2){$4$};
\node[left] at (O3){$5$};
\node[left] at (O4){$3$};
\node[right] at (O5){$4$};
\node[right] at (O6){$5$};
\node[left] at (I1){$0$};
\node[left] at (I2){$1$};
\end{tikzpicture}
\end{document} |
|
example_15009_combination_5 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\end{tikzpicture}
\end{document} |
|
example_15009_combination_2 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\end{tikzpicture}
\end{document} |
|
example_15009_combination_14 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\node[left] at (O2){$4$};
\node[left] at (O3){$5$};
\node[left] at (O4){$3$};
\node[right] at (O5){$4$};
\node[right] at (O6){$5$};
\node[left] at (I1){$0$};
\end{tikzpicture}
\end{document} |
|
example_15009_combination_13 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\node[left] at (O2){$4$};
\node[left] at (O3){$5$};
\node[left] at (O4){$3$};
\node[right] at (O5){$4$};
\node[right] at (O6){$5$};
\end{tikzpicture}
\end{document} |
|
example_15009_combination_3 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\end{tikzpicture}
\end{document} |
|
example_15009_combination_4 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\end{tikzpicture}
\end{document} |
|
example_15009_main | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture} [scale=1.2, inner sep=3mm]
\foreach \i in {1, ..., 6}
\fill (\i*360/6:2) coordinate (O\i) circle(2.4 pt);
\foreach \i in {1,2,3}
\fill (\i*360/3:1) coordinate (I\i) circle(2.4 pt);
\fill[lightgray, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);
\draw (I1)--(I2)--(I3)--(I1);
\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);
\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);
\draw (O6)--(I3); \draw (I1)--(O2); \draw (I2)--(O4);
% Label the vertices
\node[right] at (O1){$3$};
\node[left] at (O2){$4$};
\node[left] at (O3){$5$};
\node[left] at (O4){$3$};
\node[right] at (O5){$4$};
\node[right] at (O6){$5$};
\node[left] at (I1){$0$};
\node[left] at (I2){$1$};
\node[below] at (I3){$2\quad$};
\end{tikzpicture}
\end{document} |
|
example_15010_combination_11 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\coordinate (l1) at (0.5,0.5);
\coordinate (l2) at (1, 0.5);
\coordinate (l3) at (0, 0.5);
\fill[lightgray, fill opacity=0.4] (1)--(3)--(4)--(5)--(2)--(1);
\draw (1)node[left] {$v_\sigma$} -- (3) -- (4) -- (1) --(2)--(4)--(5)--(2);
\draw (l1) node[below, inner sep=0mm] {$\sigma$};
\end{tikzpicture}
\end{document} |
Subsets and Splits