Relational Algebra Division Operators - 1 Video Lecture | Question Bank for GATE Computer Science Engineering - Computer Science Engineering (CSE)

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1. What are the basic operations in relational algebra?
Ans. The basic operations in relational algebra are selection, projection, union, set difference, cartesian product, and rename.
2. What is the purpose of the division operation in relational algebra?
Ans. The division operation in relational algebra is used to find tuples that are common to two relations. It is particularly useful when we want to find all the tuples in one relation that are related to all the tuples in another relation.
3. How does the division operation work in relational algebra?
Ans. The division operation in relational algebra works by taking two relations, let's say R and S, and finding all the tuples in R that are related to all the tuples in S. It does this by first joining the two relations on their common attributes and then selecting the tuples from R that have a match for every tuple in S. The resulting relation will contain only the attributes from R that are not in S.
4. Can you give an example of how the division operation is used in relational algebra?
Ans. Sure! Let's say we have two relations, Employees and Projects. Employees has attributes emp_id and proj_id, while Projects has only proj_id. We want to find all the employees who are assigned to all the projects. We can use the division operation to achieve this by performing the division operation Employees ÷ Projects. The result will be a relation containing only the emp_id of the employees who are assigned to all the projects.
5. Are there any limitations or restrictions when using the division operation in relational algebra?
Ans. Yes, there are some limitations to consider when using the division operation in relational algebra. One limitation is that the division operation can only be performed on relations with compatible schemas. This means that the attributes in the divisor (S) must be a subset of the attributes in the dividend (R). Additionally, if there are duplicate tuples in the divisor, the division operation may produce incorrect results. It is important to ensure that the divisor does not contain duplicate tuples.
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