Optimizing the performance of a relational algebra database interface
Communications of the ACM
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Communications of the ACM
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Communications of the ACM
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An algebra of quotient relations
SIGMOD '77 Proceedings of the 1977 ACM SIGMOD international conference on Management of data
Propagation of densities of streaming data within query graphs
SSDBM'10 Proceedings of the 22nd international conference on Scientific and statistical database management
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We show how relations can be modelled in fast memory by a distribution of tuples in a multidimensional space. Given distributions for operand relations we derive distributions for the relations that result from applying the relational algebra. We apply the result for the natural join to optimize the evaluation of an expression involving two joins. We suggest further applications. The analysis for division leads to a generalization of that operator.