Aufgaben:Testbereich: Unterschied zwischen den Versionen
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| (2 dazwischenliegende Versionen desselben Benutzers werden nicht angezeigt) | |||
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}} | }} | ||
| − | |||
| − | + | :$$ \begin{array}{c} | |
| + | {\rm Operationen } \\ | ||
| + | {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ | ||
| + | \end{array}\hspace{0.25cm} \Rightarrow\hspace{0.25cm}\text{Addition: } | ||
| + | \left[ \begin{array}{c|cccccc} + & 0 & 1 &2 & 3 \\ \hline | ||
| + | 0 & 0 & 1 &2 & 3 \\ | ||
| + | 1 & 1 & 2 &3 & 0 \\ | ||
| + | 2 & 2 & 3 &0 & 1 \\ | ||
| + | 3 & 3 & 0 &1 & 2 | ||
| + | \end{array} \right] \hspace{-0.1cm} ,\hspace{0.25cm}\text{Multiplikation: } | ||
| + | \left[ \begin{array}{c|cccccc} \cdot & 0 & 1 &2 & 3 \\ \hline | ||
| + | 0 & 0 & 0 & 0 & 0 \\ | ||
| + | 1 & 0 & 1 & 2 & 3 \\ | ||
| + | 2 & 0 & 2 & 0 & 2 \\ | ||
| + | 3 & 0 & 3 & 2 & 1 \\ | ||
| + | \end{array} \right] . | ||
| + | $$ | ||
| − | + | $$\begin{tabular}{c} | |
| − | + | {\rm Operationen } \\ | |
| + | {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ | ||
| + | \end{tabular}\hspace{0.25cm} \Rightarrow\hspace{0.25cm} | ||
| + | \begin{tabular}{c|cccccc} | ||
| + | + & 0 & 1 & 2 & 3 \\\hline | ||
| + | 0 & 0 & 1 & 2 & 3 \\ | ||
| + | 1 & 1 & 2 & 3 & 0 \\ | ||
| + | 2 & 2 & 3 & 0 & 1 \\ | ||
| + | 3 & 3 & 0 & 1 & 2 \\ | ||
| + | \end{tabular} | ||
| + | &\hspace{0.25cm} | ||
| + | \begin{tabular}{c|cccccc} | ||
| + | $\cdot$ | ||
| + | & 0 & 1 & 2 & 3 \\\hline | ||
| + | 0 & 0 & 0 & 0 & 0 \\ | ||
| + | 1 & 0 & 1 & 2 & 3 \\ | ||
| + | 2 & 0 & 2 & 0 & 2 \\ | ||
| + | 3 & 0 & 3 & 2 & 1 \\ | ||
| + | \end{tabular} | ||
| + | \hspace{0.05cm}. | ||
| + | $$ | ||
Aktuelle Version vom 19. Dezember 2017, 09:18 Uhr
- $$ \begin{array}{c} {\rm Operationen } \\ {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ \end{array}\hspace{0.25cm} \Rightarrow\hspace{0.25cm}\text{Addition: } \left[ \begin{array}{c|cccccc} + & 0 & 1 &2 & 3 \\ \hline 0 & 0 & 1 &2 & 3 \\ 1 & 1 & 2 &3 & 0 \\ 2 & 2 & 3 &0 & 1 \\ 3 & 3 & 0 &1 & 2 \end{array} \right] \hspace{-0.1cm} ,\hspace{0.25cm}\text{Multiplikation: } \left[ \begin{array}{c|cccccc} \cdot & 0 & 1 &2 & 3 \\ \hline 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 2 & 3 \\ 2 & 0 & 2 & 0 & 2 \\ 3 & 0 & 3 & 2 & 1 \\ \end{array} \right] . $$
$$\begin{tabular}{c}
{\rm Operationen } \\
{\rm modulo}\hspace{0.15cm}{\it q} = 4\\
\end{tabular}\hspace{0.25cm} \Rightarrow\hspace{0.25cm}
\begin{tabular}{c|cccccc}
+ & 0 & 1 & 2 & 3 \\\hline
0 & 0 & 1 & 2 & 3 \\
1 & 1 & 2 & 3 & 0 \\
2 & 2 & 3 & 0 & 1 \\
3 & 3 & 0 & 1 & 2 \\
\end{tabular}
&\hspace{0.25cm}
\begin{tabular}{c|cccccc}
$\cdot$
& 0 & 1 & 2 & 3 \\\hline
0 & 0 & 0 & 0 & 0 \\
1 & 0 & 1 & 2 & 3 \\
2 & 0 & 2 & 0 & 2 \\
3 & 0 & 3 & 2 & 1 \\
\end{tabular}
\hspace{0.05cm}.
$$
