Mercurial > 13ws.ds

comparison notes/tex/basics.tex @ 11:c2d858c9c53e

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
move example graph into example block
author Markus Kaiser <markus.kaiser@in.tum.de>
date Tue, 05 Nov 2013 00:02:11 +0100
parents 4d05c4d352ca
children c903f55b68de
comparison
equal deleted inserted replaced
9:25d752768544 11:c2d858c9c53e
339 \end{block} 339 \end{block}
340 340
341 \begin{example}[] 341 \begin{example}[]
342 Sei $R \subseteq [4] \times [4]$ eine Relation über den natürlichen Zahlen. 342 Sei $R \subseteq [4] \times [4]$ eine Relation über den natürlichen Zahlen.
343 \[ R \defeq \left\{ (1, 1), (1, 2), (2, 3), (2, 4), (3, 3), (3, 4), (4, 3) \right\}\] 343 \[ R \defeq \left\{ (1, 1), (1, 2), (2, 3), (2, 4), (3, 3), (3, 4), (4, 3) \right\}\]
344 \end{example} 344
345 345 \centering
346 \centering 346 \begin{tikzpicture}[x=5em, y=2.5em]
347 \begin{tikzpicture}[x=5em, y=2.5em] 347 \path (0, 0) node[pretty] (1) {$1$}
348 \path (0, 0) node[pretty] (1) {$1$} 348 +(1, 0) node[pretty] (2) {$2$}
349 +(1, 0) node[pretty] (2) {$2$} 349 +(2, 1) node[pretty] (3) {$3$}
350 +(2, 1) node[pretty] (3) {$3$} 350 +(2, -1) node[pretty] (4) {$4$};
351 +(2, -1) node[pretty] (4) {$4$}; 351
352 352 \path[edge]
353 \path[edge]
354 (1) edge[loop left] (1) 353 (1) edge[loop left] (1)
355 (1) edge (2) 354 (1) edge (2)
356 (2) edge (3) 355 (2) edge (3)
357 (2) edge (4) 356 (2) edge (4)
358 (3) edge[loop above] (3) 357 (3) edge[loop above] (3)
359 (3) edge[bend left] (4) 358 (3) edge[bend left] (4)
360 (4) edge[bend left] (3); 359 (4) edge[bend left] (3);
361 \end{tikzpicture} 360 \end{tikzpicture}
361 \end{example}
362 \end{frame} 362 \end{frame}
363 363
364 \begin{frame} 364 \begin{frame}
365 \frametitle{Eigenschaften von Relationen} 365 \frametitle{Eigenschaften von Relationen}
366 \setbeamercovered{dynamic} 366 \setbeamercovered{dynamic}