Relational Algebra Division Operators - 2 Video Lecture | Question Bank for GATE Computer Science Engineering - Computer Science Engineering (CSE)

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1. What are the basic operators used in relational algebra?
Ans. The basic operators used in relational algebra are: - Selection (σ): selects rows that satisfy a given condition. - Projection (π): selects specific columns from a relation. - Union (∪): combines two relations and eliminates duplicate tuples. - Difference (-): returns tuples that are in one relation but not in another. - Cartesian Product (×): combines each tuple from one relation with each tuple from another relation.
2. What is the purpose of the division operator in relational algebra?
Ans. The division operator in relational algebra is used to find tuples that satisfy a specific condition involving two relations. It essentially allows us to divide one relation by another based on a given condition. The resulting relation will contain tuples that, when combined with the divisor relation, give the dividend relation.
3. How is the division operator represented in relational algebra?
Ans. The division operator in relational algebra is denoted by the symbol ÷ or /.
4. Can you provide an example of using the division operator in relational algebra?
Ans. Sure! Let's say we have two relations: Students and Courses. The Students relation has attributes (student_id, name), and the Courses relation has attributes (course_id, name). We want to find the students who have taken all the courses available. The division operator can be used as follows: Students ÷ Courses This will return the students who have taken all the courses listed in the Courses relation.
5. What happens if the divisor relation is empty in the division operator?
Ans. If the divisor relation is empty in the division operator, the result of the division will also be empty. This is because the division operation requires matching tuples in the divisor and dividend relations, and if there are no tuples in the divisor relation, there will be no matches and no resulting tuples in the division.
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