Complete residue system
A Complete residue system modulo is a set of integers which satisfy the following condition: Every integer is congruent to a unique member of the set modulo
.
In other words, the set contains exactly one member of each residue class.
Examples
,
, and
are all Complete residue systems
.
is a complete residue system
, for any integer
and positive integer
. Basically, any consecutive string of
integers forms a complete residue system
.