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consider two relations, R1 and R2, with num tuples N1 and N2 respectively. N2 > N1 > 0. provide cardinalities as (min, max)
R1 cartesian product R2
(N1N2,N1N2)
R1 theta join R2
(0, N1*N2)
projecting attribute A of R1
(1,N1)
R1 divided by R2
(0,0)
R2 divided by R1
(0, N2/N1)
R1 left outer join R2
(N1, N1N2)
R1 right outer join R2
(N2,N1N2)
R1 full outer join R2
(N1+N2, N1N2)