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Normalization
 By Jason Park
 Fall 2005
 CS157A
Database Normalization
   Database normalization is the process of removing
    redundant data from your tables in to improve storage
    efficiency, data integrity, and scalability.
   In the relational model, methods exist for quantifying how
    efficient a database is. These classifications are called
    normal forms (or NF), and there are algorithms for
    converting a given database between them.
   Normalization generally involves splitting existing tables
    into multiple ones, which must be re-joined or linked
    each time a query is issued.
History
   Edgar F. Codd first proposed the process of
    normalization and what came to be known as
    the 1st normal form in his paper A Relational
    Model of Data for Large Shared Data Banks
    Codd stated:
    “There is, in fact, a very simple elimination
    procedure which we shall call normalization.
    Through decomposition nonsimple domains are
    replaced by ‘domains whose elements are
    atomic (nondecomposable) values.’”
Normal Form
   Edgar F. Codd originally established three
    normal forms: 1NF, 2NF and 3NF. There
    are now others that are generally
    accepted, but 3NF is widely considered to
    be sufficient for most applications. Most
    tables when reaching 3NF are also in
    BCNF (Boyce-Codd Normal Form).
Table 1

Title       Author1        Author     ISBN         Subject     Pages   Publisher
                           2
Database    Abraham        Henry      0072958863   MySQL,      1168    McGraw-Hill
System      Silberschatz   F. Korth                Computers
Concepts


Operating   Abraham        Henry      0471694665   Computers   944     McGraw-Hill
System      Silberschatz   F. Korth
Concepts
Table 1 problems

   This table is not very efficient with storage.

   This design does not protect data integrity.

   Third, this table does not scale well.
First Normal Form
 In our Table 1, we have two violations of
  First Normal Form:
 First, we have more than one author field,
 Second, our subject field contains more
  than one piece of information. With more
  than one value in a single field, it would be
  very difficult to search for all books on a
  given subject.
First Normal Table

       Table 2

Title              Author         ISBN         Subject     Pages   Publisher

Database System    Abraham        0072958863   MySQL       1168    McGraw-Hill
Concepts           Silberschatz
Database System    Henry F. Korth 0072958863   Computers   1168    McGraw-Hill
Concepts

Operating System   Henry F. Korth 0471694665   Computers   944     McGraw-Hill
Concepts

Operating System   Abraham        0471694665   Computers   944     McGraw-Hill
Concepts           Silberschatz
 We now have two rows for a single book.
  Additionally, we would be violating the
  Second Normal Form…
 A better solution to our problem would be
  to separate the data into separate tables-
  an Author table and a Subject table to
  store our information, removing that
  information from the Book table:
Subject Table
Subject_ID       Subject

1                MySQL

2                Computers
                                            Author Table

                                        Author_ID       Last Name   First Name

                                        1               Silberschatz Abraham


                                        2               Korth       Henry
    Book Table

ISBN         Title              Pages       Publisher

0072958863   Database System    1168        McGraw-Hill
             Concepts

0471694665   Operating System   944         McGraw-Hill
             Concepts
 Each table has a primary key, used for
  joining tables together when querying the
  data. A primary key value must be unique
  with in the table (no two books can have
  the same ISBN number), and a primary
  key is also an index, which speeds up
  data retrieval based on the primary key.
 Now to define relationships between the
  tables
Relationships

Book_Author Table
                         Book_Subject Table
ISBN         Author_ID

0072958863   1           ISBN         Subject_ID

0072958863   2           0072958863   1

0471694665   1           0072958863   2

0471694665   2           0471694665   2
Second Normal Form
   As the First Normal Form deals with redundancy
    of data across a horizontal row, Second Normal
    Form (or 2NF) deals with redundancy of data in
    vertical columns.
   As stated earlier, the normal forms are
    progressive, so to achieve Second Normal
    Form, the tables must already be in First Normal
    Form.
   The Book Table will be used for the 2NF
    example
2NF Table
             Publisher Table

             Publisher_ID   Publisher Name

             1              McGraw-Hill




Book Table
ISBN             Title              Pages    Publisher_ID


0072958863       Database System    1168     1
                 Concepts

0471694665       Operating System   944      1
                 Concepts
2NF
   Here we have a one-to-many relationship
    between the book table and the publisher. A
    book has only one publisher, and a publisher will
    publish many books. When we have a one-to-
    many relationship, we place a foreign key in the
    Book Table, pointing to the primary key of the
    Publisher Table.
   The other requirement for Second Normal Form
    is that you cannot have any data in a table with a
    composite key that does not relate to all portions
    of the composite key.
Third Normal Form
 Third normal form (3NF) requires that
  there are no functional dependencies of
  non-key attributes on something other
  than a candidate key.
 A table is in 3NF if all of the non-primary
  key attributes are mutually independent
 There should not be transitive
  dependencies
Boyce-Codd Normal Form
   BCNF requires that the table is 3NF and
    only determinants are the candidate keys
END

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Jason Park Normalization

  • 1. Normalization By Jason Park Fall 2005 CS157A
  • 2. Database Normalization  Database normalization is the process of removing redundant data from your tables in to improve storage efficiency, data integrity, and scalability.  In the relational model, methods exist for quantifying how efficient a database is. These classifications are called normal forms (or NF), and there are algorithms for converting a given database between them.  Normalization generally involves splitting existing tables into multiple ones, which must be re-joined or linked each time a query is issued.
  • 3. History  Edgar F. Codd first proposed the process of normalization and what came to be known as the 1st normal form in his paper A Relational Model of Data for Large Shared Data Banks Codd stated: “There is, in fact, a very simple elimination procedure which we shall call normalization. Through decomposition nonsimple domains are replaced by ‘domains whose elements are atomic (nondecomposable) values.’”
  • 4. Normal Form  Edgar F. Codd originally established three normal forms: 1NF, 2NF and 3NF. There are now others that are generally accepted, but 3NF is widely considered to be sufficient for most applications. Most tables when reaching 3NF are also in BCNF (Boyce-Codd Normal Form).
  • 5. Table 1 Title Author1 Author ISBN Subject Pages Publisher 2 Database Abraham Henry 0072958863 MySQL, 1168 McGraw-Hill System Silberschatz F. Korth Computers Concepts Operating Abraham Henry 0471694665 Computers 944 McGraw-Hill System Silberschatz F. Korth Concepts
  • 6. Table 1 problems  This table is not very efficient with storage.  This design does not protect data integrity.  Third, this table does not scale well.
  • 7. First Normal Form  In our Table 1, we have two violations of First Normal Form:  First, we have more than one author field,  Second, our subject field contains more than one piece of information. With more than one value in a single field, it would be very difficult to search for all books on a given subject.
  • 8. First Normal Table  Table 2 Title Author ISBN Subject Pages Publisher Database System Abraham 0072958863 MySQL 1168 McGraw-Hill Concepts Silberschatz Database System Henry F. Korth 0072958863 Computers 1168 McGraw-Hill Concepts Operating System Henry F. Korth 0471694665 Computers 944 McGraw-Hill Concepts Operating System Abraham 0471694665 Computers 944 McGraw-Hill Concepts Silberschatz
  • 9.  We now have two rows for a single book. Additionally, we would be violating the Second Normal Form…  A better solution to our problem would be to separate the data into separate tables- an Author table and a Subject table to store our information, removing that information from the Book table:
  • 10. Subject Table Subject_ID Subject 1 MySQL 2 Computers Author Table Author_ID Last Name First Name 1 Silberschatz Abraham 2 Korth Henry Book Table ISBN Title Pages Publisher 0072958863 Database System 1168 McGraw-Hill Concepts 0471694665 Operating System 944 McGraw-Hill Concepts
  • 11.  Each table has a primary key, used for joining tables together when querying the data. A primary key value must be unique with in the table (no two books can have the same ISBN number), and a primary key is also an index, which speeds up data retrieval based on the primary key.  Now to define relationships between the tables
  • 12. Relationships Book_Author Table Book_Subject Table ISBN Author_ID 0072958863 1 ISBN Subject_ID 0072958863 2 0072958863 1 0471694665 1 0072958863 2 0471694665 2 0471694665 2
  • 13. Second Normal Form  As the First Normal Form deals with redundancy of data across a horizontal row, Second Normal Form (or 2NF) deals with redundancy of data in vertical columns.  As stated earlier, the normal forms are progressive, so to achieve Second Normal Form, the tables must already be in First Normal Form.  The Book Table will be used for the 2NF example
  • 14. 2NF Table Publisher Table Publisher_ID Publisher Name 1 McGraw-Hill Book Table ISBN Title Pages Publisher_ID 0072958863 Database System 1168 1 Concepts 0471694665 Operating System 944 1 Concepts
  • 15. 2NF  Here we have a one-to-many relationship between the book table and the publisher. A book has only one publisher, and a publisher will publish many books. When we have a one-to- many relationship, we place a foreign key in the Book Table, pointing to the primary key of the Publisher Table.  The other requirement for Second Normal Form is that you cannot have any data in a table with a composite key that does not relate to all portions of the composite key.
  • 16. Third Normal Form  Third normal form (3NF) requires that there are no functional dependencies of non-key attributes on something other than a candidate key.  A table is in 3NF if all of the non-primary key attributes are mutually independent  There should not be transitive dependencies
  • 17. Boyce-Codd Normal Form  BCNF requires that the table is 3NF and only determinants are the candidate keys
  • 18. END