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Benedict Irwin edited Rules.tex
about 9 years ago
Commit id: 71dda31abea68f29d0298bb3ec0959c19a66dfdd
deletions | additions
diff --git a/Rules.tex b/Rules.tex
index f8e6172..d232160 100644
--- a/Rules.tex
+++ b/Rules.tex
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\end{equation}
These matrices may be generated by the rules \begin{equation}
\begin{array}
\Theta_1
:\; :& if
\; 3b-a \; & (3b-a) & mod \; 7 = 0 \\
\Theta_2
:\; :& if
\; b-a \; & (b-a) & mod \; 7 = 4 \\
\Theta_3
:\; :& if
\; 3a-b \; & (3a-b) & mod \; 7 = 0 \\
\Theta_4
:\; :& if
\; b-2a \; & (b-2a) & mod \; 7 = 4 \\
\Theta_5
:\; :& if
\; a+b \; & (a+b) & mod \; 7 = 3 \\
\end{array}
\end{equation}
This provides the general rule for divisibility by $7$, for an integer $Z=1|a;n|1|b;n|1$, $\forall a,b,n$ as: If \begin{equation}