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Relational Algebra
1 By:-Gourav Kottawar
Relational Algebra is :
the formal description of how a relational database operates
an interface to the data stored in the database itself
the mathematics which underpin SQL operations
2 By:-Gourav Kottawar
Operators
There are two groups of operations:
Mathematical set theory based relations:
UNION, INTERSECTION, DIFFERENCE, and CARTESIAN
PRODUCT.
Special database operations:
SELECT (not the same as SQL SELECT), PROJECT, and JOIN.
3 By:-Gourav Kottawar
Relational PROJECT
The PROJECT operation is used to select a subset of the
attributes of a relation by specifying the names of the required
attributes.
For example, to get a list of all employees surnames and
employee numbers:
 PROJECTsurname,empno(employee)
Project is denoted by (π )
4 By:-Gourav Kottawar
Relational SELECT
SELECT is used to obtain a subset of the tuples of a relation that
satisfy a select condition.
For example, find all employees born after 1st Jan 1950:
 SELECT dob '01/JAN/1950'(employee)
Select is denoted by (sigma)
5 By:-Gourav Kottawar
SELECT and PROJECT
SELECT and PROJECT can be combined together. For
example, to get a list of employee numbers for employees in
department number 1:
Figure : Mapping select and project
6 By:-Gourav Kottawar
UNION Example
7 By:-Gourav Kottawar
INTERSECTION Example
8 By:-Gourav Kottawar
DIFFERENCE Example
9 By:-Gourav Kottawar
CARTESIAN PRODUCT
The Cartesian Product is also an operator which works on
two sets. It is sometimes called the CROSS PRODUCT or
CROSS JOIN.
It combines the tuples of one relation with all the tuples of
the other relation.
Cartesian Product (X).
10 By:-Gourav Kottawar
11 By:-Gourav Kottawar
JOIN Operator
JOIN is used to combine related tuples from two relations:
In its simplest form the JOIN operator is just the cross
product of the two relations.
As the join becomes more complex, tuples are removed
within the cross product to make the result of the join more
meaningful.
JOIN allows you to evaluate a join condition between the
attributes of the relations on which the join is undertaken.
The notation used is
 R JOINjoincondition S
12 By:-Gourav Kottawar
13 By:-Gourav Kottawar
14 By:-Gourav Kottawar
15 By:-Gourav Kottawar

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Rrelational algebra in dbms overview

  • 2. Relational Algebra is : the formal description of how a relational database operates an interface to the data stored in the database itself the mathematics which underpin SQL operations 2 By:-Gourav Kottawar
  • 3. Operators There are two groups of operations: Mathematical set theory based relations: UNION, INTERSECTION, DIFFERENCE, and CARTESIAN PRODUCT. Special database operations: SELECT (not the same as SQL SELECT), PROJECT, and JOIN. 3 By:-Gourav Kottawar
  • 4. Relational PROJECT The PROJECT operation is used to select a subset of the attributes of a relation by specifying the names of the required attributes. For example, to get a list of all employees surnames and employee numbers:  PROJECTsurname,empno(employee) Project is denoted by (π ) 4 By:-Gourav Kottawar
  • 5. Relational SELECT SELECT is used to obtain a subset of the tuples of a relation that satisfy a select condition. For example, find all employees born after 1st Jan 1950:  SELECT dob '01/JAN/1950'(employee) Select is denoted by (sigma) 5 By:-Gourav Kottawar
  • 6. SELECT and PROJECT SELECT and PROJECT can be combined together. For example, to get a list of employee numbers for employees in department number 1: Figure : Mapping select and project 6 By:-Gourav Kottawar
  • 10. CARTESIAN PRODUCT The Cartesian Product is also an operator which works on two sets. It is sometimes called the CROSS PRODUCT or CROSS JOIN. It combines the tuples of one relation with all the tuples of the other relation. Cartesian Product (X). 10 By:-Gourav Kottawar
  • 12. JOIN Operator JOIN is used to combine related tuples from two relations: In its simplest form the JOIN operator is just the cross product of the two relations. As the join becomes more complex, tuples are removed within the cross product to make the result of the join more meaningful. JOIN allows you to evaluate a join condition between the attributes of the relations on which the join is undertaken. The notation used is  R JOINjoincondition S 12 By:-Gourav Kottawar