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A functional Dependency_theory_(database_theory)(FD) is a constraint between two sets of attributes in a Relational_modelfrom a Database

Given a relation R, a set of Attribute_(computing) X in R is said to functionally determineanother attribute Y, also in R, (written XY) if and only if each X value is associated with precisely one Y value. Customarily we call X the determinant set and Y the dependent attribute. Thus, given a Tupleand the values of the attributes in X, one can determine the corresponding value of the Y attribute. For the purposes of simplicity, given that X and Y are sets of attributes in R, XY denotes that X functionally determines each of the members of Y - in this case Yis known as the dependent set. Thus, a Candidate_keyis a minimal set of attributes that functionally determine all of the attributes in a relation.(Note: the "function" being discussed in "functional dependency" is the function of Identification_(information).)

A functional dependency FD: X → Y is called trivial if Y is a Subsetof X.

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Kelton Conroy

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Why are certain functional dependencies called trivial functional dependencies?

A functional Dependency_theory_(database_theory)(FD) is a constraint between two sets of attributes in a Relational_modelfrom a DatabaseGiven a relation R, a set of Attribute_(computing) X in R is said to functionally determineanother attribute Y, also in R, (written X → Y) if and only if each X value is associated with precisely one Y value. Customarily we call X the determinant set and Y the dependent attribute. Thus, given a Tupleand the values of the attributes in X, one can determine the corresponding value of the Y attribute. For the purposes of simplicity, given that X and Y are sets of attributes in R, X → Y denotes that X functionally determines each of the members of Y - in this case Yis known as the dependent set. Thus, a Candidate_keyis a minimal set of attributes that functionally determine all of the attributes in a relation.(Note: the "function" being discussed in "functional dependency" is the function of Identification_(information).)A functional dependency FD: X → Y is called trivial if Y is a Subsetof X.


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