100 lines
2.6 KiB
TeX
100 lines
2.6 KiB
TeX
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\documentclass[convert={size=768}]{standalone}
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\usepackage[utf8]{inputenc}
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\usepackage[T1]{fontenc}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{tikz}
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\usepackage{color}
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\definecolor{draculaPurple}{RGB}{189,147,249}
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\definecolor{draculaCyan}{RGB}{139,233,253}
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\definecolor{draculaForeground}{RGB}{248,248,248}
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\definecolor{draculaRed}{RGB}{255, 85, 85}
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\begin{document}
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\begin{tikzpicture}[text=draculaForeground, draw=draculaCyan]
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% Injection
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% Set names
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\node at (1.5,0) [thick] {injektiv};
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\node at (0,-0.4) [thick] {A};
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\node at (3,-0.4) [thick] {B};
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% Set elements
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\begin{scope}[every node/.style={circle,thick,draw}]
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\node (1) at (0,-1) {1};
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\node (2) at (0,-2) {2};
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\node (3) at (0,-3) {3};
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\end{scope}
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\begin{scope}[every node/.style={circle,thick,draw}]
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\node (A) at (3,-1) {a};
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\node (B) at (3,-2) {b};
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\node (C) at (3,-3) {c};
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\node (D) at (3,-4) {d};
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\end{scope}
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% Arrows
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\begin{scope}[every edge/.style={draw=draculaPurple,very thick}]
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\path [->] (1) edge (D);
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\path [->] (2) edge (A);
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\path [->] (3) edge (C);
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\end{scope}
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% Surjection
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% Set names
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\node at (7.5,0) [thick] {surjektiv};
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\node at (6,-0.4) [thick] {A};
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\node at (9,-0.4) [thick] {B};
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% Set elements
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\begin{scope}[every node/.style={circle,thick,draw}]
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\node (11) at (6,-1) {1};
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\node (22) at (6,-2) {2};
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\node (33) at (6,-3) {3};
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\node (44) at (6,-4) {4};
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\node (55) at (6,-5) {5};
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\end{scope}
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\begin{scope}[every node/.style={circle,thick,draw}]
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\node (AA) at (9,-1) {a};
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\node (BB) at (9,-2) {b};
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\node (CC) at (9,-3) {c};
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\node (DD) at (9,-4) {d};
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\end{scope}
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% Arrows
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\begin{scope}[every edge/.style={draw=draculaPurple,very thick}]
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\path [->] (11) edge (AA);
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\path [->] (22) edge (BB);
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\path [->] (33) edge (BB);
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\path [->] (44) edge (DD);
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\path [->] (55) edge (CC);
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\end{scope}
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% Bijection
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% Set names
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\node at (13.5,0) [thick] {bijektiv};
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\node at (12,-0.4) [thick] {A};
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\node at (15,-0.4) [thick] {B};
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% Set elements
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\begin{scope}[every node/.style={circle,thick,draw}]
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\node (111) at (12,-1) {1};
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\node (222) at (12,-2) {2};
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\node (333) at (12,-3) {3};
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\node (444) at (12,-4) {4};
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\end{scope}
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\begin{scope}[every node/.style={circle,thick,draw}]
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\node (AAA) at (15,-1) {a};
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\node (BBB) at (15,-2) {b};
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\node (CCC) at (15,-3) {c};
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\node (DDD) at (15,-4) {d};
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\end{scope}
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% Arrows
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\begin{scope}[every edge/.style={draw=draculaPurple,very thick}]
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\path [->] (111) edge (DDD);
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\path [->] (222) edge (AAA);
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\path [->] (333) edge (CCC);
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\path [->] (444) edge (BBB);
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\end{scope}
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\end{tikzpicture}
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\end{document}
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