Functional dependency is a relationship that exists when one attribute uniquely determines another attribute. If R is a relation with attributes X and Y, a functional dependency between the attributes is represented as X->Y, which specifies Y is functionally dependent on X. Here X is a determinant set and Y is a dependent attribute. Each value of X is associated precisely with one Y value. Functional dependency in a database serves as a constraint between two sets of attributes. Defining functional dependency is an important part of relational database design and contributes to aspect normalization.

Basics of FDsManipulating FDsClosures and KeysMinimal Bases Functional Dependencies T. Murali October 18, 25, 2010 T. Murali October 18, 25, 2010 CS 4604.

A functional dependency is trivial if Y is a subset of X. In a table with attributes of employee name and Social Security number (SSN), employee name is functionally dependent on SSN because the SSN is unique for individual names. An SSN identifies the employee specifically, but an employee name cannot distinguish the SSN because more than one employee could have the same name. Functional dependency defines Boyce-Codd normal form and third normal form. This preserves dependency between attributes, eliminating the repetition of information.

Functional dependency is related to a candidate key, which uniquely identifies a tuple and determines the value of all other attributes in the relation. In some cases, functionally dependent sets are irreducible if: • The right-hand set of functional dependency holds only one attribute • The left-hand set of functional dependency cannot be reduced, since this may change the entire content of the set • Reducing any of the existing functional dependency might change the content of the set An important property of a functional dependency is Armstrong’s axiom, which is used in database normalization. In a relation, R, with three attributes (X, Y, Z) Armstrong’s axiom holds strong if the following conditions are satisfied: • Axiom of Transivity: If X->Y and Y->Z, then X->Z • Axiom of Reflexivity (Subset Property): If Y is a subset of X, then X->Y • Axiom of Augmentation: If X->Y, then XZ->Download Colors Tv Program List Today. YZ.

Functional Dependency and Normalization for Relational Databases Introduction: Relational database design ultimately produces a set of relations. Functional Dependency Definition - Functional dependency is a relationship that exists when one attribute uniquely determines another attribute. Database Tables Functional Dependency. Examples of Functional Dependencies. Normalization.PDF Author: Unknown Created Date.