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Determine if the following decompositions are lossless join decompositions: (a) R = ABCD, F = {B C, AD C}, = {AB,BCD} (b) R = ABCDEI,

Determine if the following decompositions are lossless join decompositions:

(a) R = ABCD, F = {B C, AD C}, = {AB,BCD}

(b) R = ABCDEI, F = {A D, B E, C I}, = {ABC, ADI, BDEI, CDEI}.

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