From e81498d09538fc169b52bc64d4bba636161737d8 Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Wed, 8 Oct 2014 14:56:48 +0200 Subject: [PATCH] Bool done --- programming/lectures/images/AnotB.png | Bin 0 -> 104207 bytes programming/lectures/images/AundB.png | Bin 0 -> 108823 bytes programming/lectures/images/AvB.png | Bin 0 -> 179688 bytes programming/lectures/images/AxorB.png | Bin 0 -> 104821 bytes programming/lectures/images/beete.png | Bin 0 -> 309615 bytes programming/lectures/images/grundmenge.png | Bin 0 -> 161805 bytes programming/lectures/programming_basics.tex | 173 +++++++++++++------- 7 files changed, 114 insertions(+), 59 deletions(-) create mode 100644 programming/lectures/images/AnotB.png create mode 100644 programming/lectures/images/AundB.png create mode 100644 programming/lectures/images/AvB.png create mode 100644 programming/lectures/images/AxorB.png create mode 100644 programming/lectures/images/beete.png create mode 100644 programming/lectures/images/grundmenge.png 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z;Nq8D%d&bRZwoa1b>d+ESQG*!EWNyvu=+UVO}M0Kpxt9@OL$;qUmyr^AAl2~oC$KY z(r^G3FqvI5z4oTr^FLUl?AdIy&^A4X#aQk0uxmN?2b2QPXtV;K^=wdXZAAsv)+tg_ z(+CkzTbj^$|3mNOXljnVHEFS+hV%Sm}$uX+-bZ!#cuAZ)df`|@p;soLTa1K}r@Hyy5OzMm>l zs=B#(q$2Ne7WWTgNgK7;n1`O_!{wbbaqq1{p)L)*_$Y!oxNxuwt0BkCFEt1>8$u~Z`yott7><%KE& z0T0~jlEkaeU-Nvptw!V7HdeblTa#$A5|-r>UG#Z1`JEqVf3JGC@%>glQ1SSlKub&P z#R%FIDG47(_8XCS9dQ;HaLw*j!H=VY?N0b6a>Iyiis$71VdPFw9?d_;TVK zpWY!#N$^oRx=Tq%80qN54x7@^(b;Gmq@&Bwv)e;Q_j3PvI=W|4Zy4z4Zi { + \begin{figure} + \centering + \includegraphics[width=0.75\columnwidth]{./images/grundmenge} + \end{figure} + } + \only<2> { + \begin{figure} + \centering + \includegraphics[height=0.65\textheight]{./images/beete} + \end{figure} + } + \only<3> { + \begin{figure} + \centering + \includegraphics[height=0.65\textheight]{./images/AvB} + \end{figure} + } + \only<4> { + \begin{figure} + \centering + \includegraphics[height=0.65\textheight]{./images/AundB} + \end{figure} + } + \only<5> { + \begin{figure} + \centering + \includegraphics[height=0.65\textheight]{./images/AnotB} + \end{figure} + } + \only<6> { + \begin{figure} + \centering + \includegraphics[height=0.65\textheight]{./images/AxorB} + \end{figure} + } \end{frame} - -\begin{frame} +\begin{frame}[fragile] \frametitle{Boolesche Operationen} \framesubtitle{Logische Operatoren} \begin{table}[th] - \begin{center} - \begin{tabular}{c|c} - \hline - \textbf{Operator} & \textbf{Beschreibung} \\ \hline - $\sim$ & logisches NOT\\ - $\&$ & logisches UND\\ - $|$ & logisches ODER\\ - $\&\&$ & short-circuit logical AND\\ - $\|$ & short-circuit logical OR\\ - \hline - \end{tabular} - \end{center} - Das auschliessende ODER (XOR) ist nur als Funktion \verb+xor(A, B)+ verf\"ugbar. -\end{table} + \caption{\label{logicalOperatorsTab} + \textbf{Logical operators.}} + \begin{center} + \begin{tabular}{c|c} + \hline + \textbf{Operator} & \textbf{Beschreibung} \\ \hline + $\sim$ & logisches NOT\\ + $\&$ & logisches UND\\ + $|$ & logisches ODER\\ + $\&\&$ & short-circuit logical AND\\ + $\|$ & short-circuit logical OR\\ + \hline + \end{tabular} + \end{center} + \vspace{1em} + Das auschliessende ODER (XOR) ist nur als Funktion \verb+xor(A, B)+ verf\"ugbar. + \end{table} \end{frame} -\subsection{Relational operators} -\begin{frame} +\begin{frame}[fragile] \frametitle{Boolesche Operationen} \framesubtitle{Relationale Operatoren} \begin{table}[th] + \caption{\label{relOperatorsTab} + \textbf{Relational Operators.}} \begin{center} \begin{tabular}{c|c} \hline \textbf{Operator} & \textbf{Beschreibung} \\ \hline $<$ & kleiner als\\ - $>$ & gr\"o\{ss}er als \\ + $>$ & gr\"osser als \\ $==$ & gleich \\ - $>=$ & gr\"o\{ss}er oder gleich\\ - $<=$ & kleiner oder gleich\\ + $>=$ & gr\"osser oder gleich \\ + $<=$ & kleiner oder gleich \\ $\sim=$ & ungleich\\ \hline \end{tabular} @@ -725,13 +764,12 @@ \end{table} \end{frame} -\subsection{Logical operators} - -\subsection{Boolean operations} -\begin{frame}[fragile]{Boolean operations}{Examples} -\tiny -\begin{lstlisting}[label=booleanListing1] +\begin{frame}[fragile] + \frametitle{Boolean operations} + \framesubtitle{Beispiele} + \tiny + \begin{lstlisting} >> x = [2 0 0 5 0] & [1 0 3 2 0] x = 1 0 0 1 0 @@ -743,33 +781,50 @@ >> [2 0 0 5 0] | [1 0 3 2 0] ans = 1 0 1 1 0 -\end{lstlisting} -\end{frame} - -\subsection{Exercises} -\begin{frame}[fragile]{Boolean operations}{Exercises} -\vspace{-0.5cm} - \begin{enumerate} - \item Given are two vectors \verb+x = [1 5 2 8 9 0 1]+ and - \verb+y = [5 2 2 6 0 0 2]+. Execute and explain the following commands. - \begin{enumerate} - \item \verb+x > y+ - \item \verb+y < x+ - \item \verb+x == y+ - \item \verb+x ~= y+ - \item \verb+x & ~y+ - \item \verb+x | y+ - \end{enumerate} - \item One can use boolean operations for so called logical indexing: - Given are \verb+x = 1:10+ and \verb+y = [3 1 5 6 8 2 9 4 7 0]+. Try - to understand the following commands. - \begin{enumerate} - \item \verb+x( (y <= 2) )+ - \item \verb+x( (x > 2) | (y < 8) )+ - \item \verb+x( (x == 0) & (y == 0) )+ - \end{enumerate} - \item Play around with boolean operations. - \end{enumerate} +\end{lstlisting} \end{frame} + +\begin{frame}[fragile] + \frametitle{Boolesche Operationen} + \framesubtitle{\"Ubungen} + \vspace{-0.5cm} + \begin{enumerate} + \item Gegeben sind zwei Vektoren \verb+x = [1 5 2 8 9 0 1]+ und + \verb+y = [5 2 2 6 0 0 2]+. F\"uhre aus und erkl\"are. + \begin{enumerate} + \item \verb+x > y+ + \item \verb+y < x+ + \item \verb+x == y+ + \item \verb+x ~= y+ + \item \verb+x & ~y+ + \item \verb+x | y+ + \end{enumerate} + \end{enumerate} +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Logische Indexierung} + \framesubtitle{\"Ubungen} + Boolesche Operationen koennen eingesetzt werden um aus Vektoren und + Matrizen Elemente auszuwaehlen, die einer bestimmten Bedingung + entsprechen. + \begin{enumerate} + \item Gegeben sind \verb+x = (1:10)+ und + \verb+y = [3 1 5 6 8 2 9 4 7 0]+. Try to understand the following + commands. + \begin{enumerate} + \item \verb+x( (y <= 2) )+ + \item \verb+x( (x > 2) | (y < 8) )+ + \item \verb+x( (x == 0) \& (y == 0) )+ + \end{enumerate} + \item Erzeuge eine 100x100 2-D Matrix mit Zufallswerten zwischen 0 und 100 (\verb+randi+). Ersetze \verb+x < 33+ mit 0, \verb+x >= 33 und x < 66+ mit 1 und alle \verb+x >= 66+ auf 2. + \item Ermittle die Anzahl Elemente fuer jede Klasse mithilfe eines Booleschen Ausdrucks. + \end{enumerate} +\end{frame} + + + + \end{document}

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