Aufgaben:Testbereich: Difference between revisions

Revision as of 10:50, 16 August 2017

$$ \begin{array}{c}

{\rm Operationen } \\ {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ \end{array}\hspace{0.25cm} \Rightarrow\hspace{0.25cm}\text{Addition: } \left[ \begin{array}{c|cccccc} + & 0 & 1 &2 & 3 \\ \hline

                                                         0 & 0 & 1 &2 & 3 \\ 
                                                         1 & 1 & 2 &3 & 0  \\ 
                                                         2 & 2 & 3 &0 & 1 \\ 
                                                         3 & 3 & 0 &1 & 2

\end{array} \right] \hspace{-0.1cm} ,\hspace{0.25cm}\text{Multiplikation: } \left[ \begin{array}{c|cccccc} \cdot & 0 & 1 &2 & 3 \\ \hline

                                                         0 & 0 & 0 & 0 & 0  \\

1 & 0 & 1 & 2 & 3 \\ 2 & 0 & 2 & 0 & 2 \\ 3 & 0 & 3 & 2 & 1 \\ \end{array} \right] . $$

$$\begin{tabular}{c} {\rm Operationen } \\ {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ \end{tabular}\hspace{0.25cm} \Rightarrow\hspace{0.25cm} \begin{tabular}{c|cccccc} + & 0 & 1 & 2 & 3 \\\hline 0 & 0 & 1 & 2 & 3 \\ 1 & 1 & 2 & 3 & 0 \\ 2 & 2 & 3 & 0 & 1 \\ 3 & 3 & 0 & 1 & 2 \\ \end{tabular} &\hspace{0.25cm} \begin{tabular}{c|cccccc} $\cdot$ & 0 & 1 & 2 & 3 \\\hline 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 2 & 3 \\ 2 & 0 & 2 & 0 & 2 \\ 3 & 0 & 3 & 2 & 1 \\ \end{tabular} \hspace{0.05cm}. $$

@@ Line 3: / Line 3: @@
 }}
-:$$ \left[ \begin{array}{cccc} + & 0 & 1 &2 & 3 \\ \hline
+:$$ \begin{array}{c}
+		{\rm Operationen } \\
+		{\rm modulo}\hspace{0.15cm}{\it q} = 4\\
+		\end{array}\hspace{0.25cm} \Rightarrow\hspace{0.25cm}\text{Addition:      }
+\left[ \begin{array}{c|cccccc} + & 0 & 1 &2 & 3 \\ \hline
 & 0 & 1 &2 & 3 \\
 & 1 & 2 &3 & 0  \\
 & 2 & 3 &0 & 1 \\
 & 3 & 0 &1 & 2
-\end{array} \right] .$$
+\end{array} \right] \hspace{-0.1cm} ,\hspace{0.25cm}\text{Multiplikation:      }
+\left[ \begin{array}{c|cccccc} \cdot & 0 & 1 &2 & 3 \\ \hline
-$${\mathbf{R}} =\left[ R_{ij} \right] = \left[ \begin{array}{cccc}R_{11} & R_{12} & \cdots & R_{1N} \\ R_{21} & R_{22}& \cdots & R_{2N} \\ \cdots & \cdots & \cdots &\cdots \\ R_{N1} & R_{N2} & \cdots & R_{NN}  \end{array} \right] .$$
+& 0 & 0 & 0 & 0  \\
+& 0 & 1 & 2 & 3 \\
+& 0 & 2 & 0 & 2 \\
+& 0 & 3 & 2 & 1  \\
+\end{array} \right] .
+$$
-$$\begin{tabular}{c}
-		+ & 0 & 1 & 2 & 3  \\\hline
-& 0 & 1 & 2 & 3 \\
-& 1 & 2 & 3 & 0 \\
-& 2 & 3 & 0 & 1 \\
-& 3 & 0 & 1 & 2 \\
-		\end{tabular}$$
-$$\begin{tabular}{c|cccccc}
-		+ & 0 & 1 & 2 & 3  \\\hline
-& 0 & 1 & 2 & 3 \\
-& 1 & 2 & 3 & 0 \\
-& 2 & 3 & 0 & 1 \\
-& 3 & 0 & 1 & 2 \\
-		\end{tabular}$$
 $$\begin{tabular}{c}