Set of Residue Classes/Examples/3

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Example of Set of Residue Classes

The elements of $\Z_3$, the set of residue classes modulo $3$, are:

\(\displaystyle \eqclass 0 3\) \(=\) \(\displaystyle \set {\dotsc, -6, -3, 0, 3, 6, \dotsc}\)
\(\displaystyle \eqclass 1 3\) \(=\) \(\displaystyle \set {\dotsc, -5, -2, 1, 4, 7, \dotsc}\)
\(\displaystyle \eqclass 2 3\) \(=\) \(\displaystyle \set {\dotsc, -4, -1, 2, 5, 6, \dotsc}\)


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