Functional Dependency - Irreducible Function Depending Set

Irreducible Function Depending Set

A functional depending set S is irreducible if the set has the following three properties:

  1. Each right set of a functional dependency of S contains only one attribute.
  2. Each left set of a functional dependency of S is irreducible. It means that reducing any one attribute from left set will change the content of S (S will lose some information).
  3. Reducing any functional dependency will change the content of S.

Sets of Functional Dependencies(FD) with these properties are also called canonical or minimal.

Read more about this topic:  Functional Dependency

Famous quotes containing the words irreducible, function, depending and/or set:

    If an irreducible distinction between theatre and cinema does exist, it may be this: Theatre is confined to a logical or continuous use of space. Cinema ... has access to an alogical or discontinuous use of space.
    Susan Sontag (b. 1933)

    Any translation which intends to perform a transmitting function cannot transmit anything but information—hence, something inessential. This is the hallmark of bad translations.
    Walter Benjamin (1892–1940)

    [Religious liberty was] in its nature an inalienable right ... because the opinions of men, depending only upon the evidence contemplated by their minds, cannot follow the dictates of other men.
    James Madison (1751–1836)

    We’ll set thee to school to an ant, to teach thee there’s no laboring i’ the winter.
    William Shakespeare (1564–1616)