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Relation R with an associated set of functional dependencies, F is decomposed into BCNF. The redundancy (arising out of functional dependencies) in the resulting set relations is.
- a)Zero
- b)More than zero but less than that of an equivalent 3NF decomposition
- c)Proportional to the size of F+
- d)Indeterminate
Correct answer is option 'A'. Can you explain this answer?
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Relation R with an associated set of functional dependencies, F is dec...
If a relational schema is in BCNF then all redundancy based on functional dependency has been removed, although other types of redundancy may still exist.
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Relation R with an associated set of functional dependencies, F is dec...
Introduction:
In database design, functional dependencies are used to determine the relationships between attributes in a relation. When a relation is decomposed into Boyce-Codd Normal Form (BCNF), it ensures that there are no non-trivial functional dependencies between attributes. This decomposition eliminates redundancy, which is the repetition of data in multiple places.
Explanation:
When a relation R with an associated set of functional dependencies F is decomposed into BCNF, the resulting set of relations will have zero redundancy arising out of functional dependencies. This means that there will be no repetition of data and no need for additional storage to maintain consistency in the database.
Why is the redundancy zero?
The BCNF decomposition ensures that each relation in the resulting set is in a state where no non-trivial functional dependencies exist. This means that each relation is in a "normalized" form where redundancy is eliminated.
Comparison with 3NF decomposition:
In a 3NF decomposition, some non-trivial functional dependencies may still exist between attributes. This means that there could be some redundancy in the resulting set of relations. However, in a BCNF decomposition, all non-trivial functional dependencies are eliminated, resulting in zero redundancy.
Relation between redundancy and size of F:
The size of F, which represents the set of functional dependencies, does not have a direct influence on the redundancy in a BCNF decomposition. The focus of BCNF is to eliminate redundancy arising out of functional dependencies, regardless of the size of F. Therefore, the redundancy is not proportional to the size of F.
Conclusion:
When a relation R with an associated set of functional dependencies F is decomposed into BCNF, the resulting set of relations will have zero redundancy arising out of functional dependencies. This is because BCNF ensures that all non-trivial functional dependencies are eliminated, regardless of the size of F.
In database design, functional dependencies are used to determine the relationships between attributes in a relation. When a relation is decomposed into Boyce-Codd Normal Form (BCNF), it ensures that there are no non-trivial functional dependencies between attributes. This decomposition eliminates redundancy, which is the repetition of data in multiple places.
Explanation:
When a relation R with an associated set of functional dependencies F is decomposed into BCNF, the resulting set of relations will have zero redundancy arising out of functional dependencies. This means that there will be no repetition of data and no need for additional storage to maintain consistency in the database.
Why is the redundancy zero?
The BCNF decomposition ensures that each relation in the resulting set is in a state where no non-trivial functional dependencies exist. This means that each relation is in a "normalized" form where redundancy is eliminated.
Comparison with 3NF decomposition:
In a 3NF decomposition, some non-trivial functional dependencies may still exist between attributes. This means that there could be some redundancy in the resulting set of relations. However, in a BCNF decomposition, all non-trivial functional dependencies are eliminated, resulting in zero redundancy.
Relation between redundancy and size of F:
The size of F, which represents the set of functional dependencies, does not have a direct influence on the redundancy in a BCNF decomposition. The focus of BCNF is to eliminate redundancy arising out of functional dependencies, regardless of the size of F. Therefore, the redundancy is not proportional to the size of F.
Conclusion:
When a relation R with an associated set of functional dependencies F is decomposed into BCNF, the resulting set of relations will have zero redundancy arising out of functional dependencies. This is because BCNF ensures that all non-trivial functional dependencies are eliminated, regardless of the size of F.
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Relation R with an associated set of functional dependencies, F is decomposed into BCNF. The redundancy (arising out of functional dependencies) in the resulting set relations is.a)Zerob)More than zero but less than that of an equivalent 3NF decompositionc)Proportional to the size of F+d)IndeterminateCorrect answer is option 'A'. Can you explain this answer?
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