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Example: equivalence classes of congruence modulo n are 0}={…,-2n,-n,0,n,2n,} I={…,-2n+1,n+1,1,n+1,2n+1,} n-1]l={…,-n-1,1,n-1,2n-1,3n-1,} A partition or quotient set of Z, Z/R={01,1l…,n-1Example: equivalence classes of congruence modulo n are: [0]={…,-2n,-n,0,n,2n,…} [1]={…,-2n+1,-n+1,1,n+1,2n+1,…} … [n-1]={…,-n-1,-1,n-1,2n-1,3n-1,…} A partition or quotient set of Z, Z/R={[0],[1],…,[n-1]}
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