07.01 relational algebra

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Page 1: 07.01 relational algebra
Page 2: 07.01 relational algebra

Relational Algebra Operations

Basic operations

◦ Selection ( )

Selects a subset of rows from relation.

◦ Projection ( )

Deletes unwanted columns from relation.

◦ Cartesian product ( )

Combine two relations.

◦ Set-difference ( )

Tuples in relation 1, but not in relation 2.

◦ Union ( )

Tuples in relation 1 or in relation 2.

Page 3: 07.01 relational algebra

Select Operator

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Produce table containing subset of rows of argument

table satisfying condition

condition (relation)

Person

SELECT * FROM Person WHERE Hobby='stamps';

Id Name Address Hobby

1123 Anita Damauli stamps

1123 Anita Damauli coins

5556 BinodKathmand

u hiking

9876 BarshaKathmand

u stamps

Id Name Address Hobby

1123 Anita Damauli stamps

9876 BarshaKathmand

u stamps

Hobby=‘stamps’(Person)

Page 4: 07.01 relational algebra

Selection Condition

Operators: <, , , >, =,

Simple selection condition:

◦ <attribute> operator <constant>

◦ <attribute> operator <attribute>

<condition> AND <condition>

<condition> OR <condition>

NOT <condition>

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Page 5: 07.01 relational algebra

Selection Condition -

Examples

Id>3000 OR Hobby=‘hiking’ (Person)

SELECT * FROM Person WHERE Person.Hobby='hiking' OR Person.ID>3000;

Id>3000 AND Id <5999 (Person)SELECT * FROM Person WHERE Person.ID>3000 AND Person.ID<5999;

NOT(Hobby=‘hiking’) (Person)SELECT * FROM Person WHERE Not (Person.Hobby)="hiking";

Hobby‘hiking’ (Person)

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Page 6: 07.01 relational algebra

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Project Operator

Produces table containing subset of

columns of argument table

attribute list(relation)

Person

Id Name Address Hobby

1123 Anita Damauli stamps

1123 Anita Damauli coins

5556 BinodKathmand

u hiking

9876 BarshaKathmand

u stamps

Name Hobby

Anita stamps

Anita coins

Binod hiking

Barsha stamps

Name,Hobby (Person)

SELECT Name, Hobby FROM Person;

Page 7: 07.01 relational algebra

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Project Operator

Result is a table (no duplicates);

can have fewer tuples than the original

• Example:

Person

Id Name Address Hobby

1123 Anita Damauli stamps

1123 Anita Damauli coins

5556 BinodKathmand

u hiking

9876 BarshaKathmand

u stamps

Name Address

Anita Damauli

BinodKathmand

u

BarshaKathmand

u

Name,Address(Person)

SELECT Person.PName, Person.Address FROM

Person;

Page 8: 07.01 relational algebra

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Expressions

Person Result

Id, Name ( Hobby=’stamps’ OR Hobby=’coins’ (Person) )

Id Name Address Hobby

1123 Anita Damauli stamps

1123 Anita Damauli coins

5556 BinodKathmand

u hiking

9876 BarshaKathmand

u stamps

Id Name

1123 Anita

9876 Barsha