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The third normal form (3NF) is a normal form used in database normalization. 3NF was originally defined by E. F. Codd in 1971. [2] Codd's definition states that a table is in 3NF if and only if both of the following conditions hold: The relation R (table) is in second normal form (2NF).
Codd went on to define the second normal form (2NF) and third normal form (3NF) in 1971, [5] and Codd and Raymond F. Boyce defined the Boyce–Codd normal form (BCNF) in 1974. [6] Ronald Fagin introduced the fourth normal form (4NF) in 1977 and the fifth normal form (5NF) in 1979. Christopher J. Date introduced the sixth normal form (6NF) in 2003.
For example, all the relations are in third normal form and any relations with join dependencies and multi-valued dependencies are handled appropriately. Examples of denormalization techniques include: "Storing" the count of the "many" elements in a one-to-many relationship as an attribute of the "one" relation
A normal form for a free group with generating set is a choice of a reduced word in for each element of . Normal Form Theorem for Free Groups. A free group has a unique normal form i.e. each element in is represented by a unique reduced word. Proof. An elementary transformation of a word consists of inserting or deleting a part of the form with .
In database normalization, one of the important features of third normal form is that it excludes certain types of transitive dependencies. E.F. Codd, the inventor of the relational model, introduced the concepts of transitive dependence and third normal form in 1971. [1]
Both examples end meeting the 3NF, but the example in this page starts from a table that meets 2NF and not 3NF. In this example, the determinant Winner is not part of a candidate key, so it has no issues with 2NF. In the 2NF article example, the determinant Manufacturer is part of a candidate key, so it's not in 2NF.
A table is in EKNF if and only if all its elementary functional dependencies begin at whole keys or end at elementary key attributes. For every full non-trivial functional dependency of the form X→Y, either X is a key or Y is (a part of) an elementary key.
Boyce–Codd normal form (BCNF or 3.5NF) is a normal form used in database normalization. It is a slightly stricter version of the third normal form (3NF). By using BCNF, a database will remove all redundancies based on functional dependencies .