Explain the Cartesian product: 

The Cartesian product operation does not need relations to union-compatible.  The meaning of this is that the involved relations may have dissimilar schemas.  Let R & S be relations that may have dissimilar schemas. 

 DEF: Cartesian product

 The Cartesian product of relations R and S, denoted R X S, is the set of all probable combinations of tuples of the two operation relations.  Every resultant tuple contains all the attributes of R and S. 

The resultant relation has  

 Cardinality = (cardinality of R) * (cardinality of S); and 

 arity = (arity of R)  +  (arity of S). 

 For instance, in given table, STUDENT X MODULE is equal to