Relational Algebra Division Operators - 3 Video Lecture | Question Bank for GATE Computer Science Engineering - Computer Science Engineering (CSE)

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1. What are the division operators in relational algebra?
Ans. The division operators in relational algebra are the relational division and the set division. Relational division is used to divide two relations, while set division is used to divide two sets.
2. How does relational division work in relational algebra?
Ans. Relational division in relational algebra is used to find all the tuples in one relation that are associated with all the tuples in another relation. It works by comparing each tuple of the dividend relation with each tuple of the divisor relation and selecting the tuples that satisfy the division condition.
3. What is the difference between relational division and set division in relational algebra?
Ans. The main difference between relational division and set division in relational algebra is the type of operands they operate on. Relational division operates on relations, while set division operates on sets. Additionally, relational division returns a relation as its result, while set division returns a set.
4. How is the division operation useful in database queries?
Ans. The division operation in relational algebra is useful in database queries when we need to find tuples that satisfy a certain condition based on the values of other tuples. It allows us to select tuples that are associated with all the values in another relation or set, which can be helpful in various applications such as finding common elements or filtering data based on dependencies.
5. What are some common use cases for the division operation in database management systems?
Ans. Some common use cases for the division operation in database management systems include finding employees who have worked on all projects, selecting customers who have purchased all products, identifying students who have taken all required courses, and determining suppliers who can supply all requested items.
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