N-ary relations and their applications. (Rosen 8.2) презентация

n-ary relations We can have relation between more than just 2 sets A binary relation involves 2 sets and can be described by a set of pairs A ternary relation involves

Слайд 1n-ary Relations and Their Applications
Rosen 8.2


Слайд 2n-ary relations
We can have relation between more than just 2 sets
A

binary relation involves 2 sets and can be described by a set of pairs
A ternary relation involves 3 sets and can be described by a set of triples


An n-ary relation involves n sets and can be described by a set of n-tuples

Relations are used to represent computer databases

Also used to represent constraints!


Слайд 3n-ary relations
n-ary Relations


Слайд 4n-ary relations
n-ary Relations
Note: N is the set of natural numbers {0,1,2,3,…}
An

example

Note: R could be considered as an extensional representation of the
ternary relation a

The relation has degree 3

The domains of the relation are the set of natural numbers


Слайд 5n-ary relations
n-ary Relations
Note: N is the set of natural numbers {0,1,2,3,…}

Z is the set of integers {…,-2,-1,0,1,2,…}

An example

Note: R could be considered as an extensional representation of the
ternary relation a

The relation has degree 4


Слайд 6Relational databases
Database is made up of records.
Typical operations on a database

are

find records that satisfy a given criteria
delete records
add records
update records

Some everyday databases
student records
health records
tax information
telephone directories
banking records

Databases may be represented
using the relational model


Слайд 9Relational databases
The relational data model
Database made up of records, they are

n-tuples, made up of fields

Student record might look as follows

(name,metricNo,faculty,gpa)

(Jones,200401986,Arts,4.9)
(Lee,200408972,Science,3.6)
(Kuhns,200501728,Humanities,5.0)
(Moore,200308327,Science,5.5)

relations (in relDB) also called tables

gpa is an attribute


Слайд 10Relational databases
The relational data model
Example from the book
Attributes: name, metric No,

Dept and GPA

Слайд 11Relational databases
The relational data model
primary key:
An attribute/domain/column is a primary key

when
the value of this attribute uniquely defines tuples
i.e. no two tuples have the same value for that attribute

Name cannot be a primary key, neither can Dept or GPS
metricNo is a primary key


Слайд 12Relational databases
The relational data model
The current collection of n-tuples (records) in

the relation (table)
is called the extension of the relation

The permanent aspects of the relation (table) such as the attribute names
is called the intention of the relation


Слайд 13Relational databases
The relational data model
A composite key is a combination of

attributes
That uniquely define tuples

Слайд 14Relational databases
Operations on n-ary relations
Selection


Слайд 15Relational databases
Operations on n-ary relations
Selection


Слайд 16Relational databases
Operations on n-ary relations
Projection
It strips out specific columns


Слайд 17Relational databases
Operations on n-ary relations
Projection


Слайд 18Relational databases
Operations on n-ary relations
Join
Joins two tables/relations together, matching up on

specific attributes

Слайд 19Relational databases
Operations on n-ary relations
Join


Слайд 20Explain the previous slide
Explain how what we do differs from what

will
be presented in IM2

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