Page 133 - Touhpad Ai

Result of the Intersection Operation
Student_Name
Sudha

Difference Operation
The difference operation removes common tuples from the first table. The set operation is denoted by ‘– ‘.
The syntax of Intersection operation: π (Relation1) - π (Relation2)
Attribute Attribute
For example, consider the following tables with different optional subjects. You need to retrieve the names of students
who have opted for French but not German. You can write:
π Student_Name (Student1) - π Student_Name (Student2)
Table: French Table: German
Roll_No Student_Name Subject Roll_No Student_Name Subject
100 Ronny French 101 Vivek German
102 Sudha French 102 Sudha German
103 Punit French 104 Kumar German
105 Jimmy French 106 John German

If you perform difference operation on the above two tables, you get the following result:
Result of the Difference Operation
Student_Name
Ronny
Punit

Jimmy

Cartesian Product Operation
The cartesian product of two relations is the concatenation of tuples belonging to the two relations. The cartesian
product is a binary operation and is denoted by (x).
The syntax of Cartesian Product operation: Relation1 x Relation2
For example, consider the following tables with different optional subjects. You need to create all possible pairs of
students from the Sanskrit and Teacher tables. You can write:

Sanskrit x Teacher
Table: Sanskrit Table: Teacher
Roll_No Student_Name Subject Teacher_ID Teacher_Name
107 Ananya Sankrit 201 Mr Naveen
108 Rohan Sankrit 202 Ms Mehta
109 Meera Sankrit

The Cartesian Product of the above two relations, Sanskrit × Teacher, will produce a relation which has a degree
(number of columns) of 5 and a cardinality (number of rows) of 6.
Result of the Cartesian Product Operation

Roll_No Student_Name Subject Teacher_ID Teacher_ID
107 Ananya Sankrit 201 Mr Naveen

107 Ananya Sankrit 202 Ms Mehta

Mathematics for AI 131