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Second normal form relations based on Fig 7-4
Sec 7-3
Example 7-6
Building Blocks for Models Creating a referenced entity relation
Given a relation-schema
Job performance: RELATION Employee name, duty : hours worked, bonus pay,
we may nd that the bonus pay is a factor which depends on the duty only, ie, there is a F D(duty) =bonus pay A new relation will be established and the old relation will be transformed:
Job performance 2: RELATION employee name, duty : hours worked,
Duty description: RELATION duty : bonus pay;
The relation Duty description collects this factor and any other information about the duties This information is now retained even if no employee currently performs some duty Without the Duty description relation the bonus pay must be entered with every change of duty
The removal of functional dependencies on attributes which are subsets of the ruling part is called normalization to second normal form It does not apply when the ruling part has only a single attribute The dependent part of a relation in second normal form now contains only attributes that are functionally dependent on the entire ruling part Relations in second normal form obey the rule stated as Eq 7-4 for all subsets of the dependent part B New referenced entity relations may be established during this process; for instance, the relation Duty description in Example 7-5 This type of relation also obeys all rules established for relations: since it is a set, redundant tuples will be eliminated and the number of tuples in it will be equal or less, often much less than the number of tuples in the primary or referencing relation The referencing attribute will appear in both relations, and becomes the ruling part of the referenced relation Tuples which are being referenced by a tuple in a primary relation should not be deleted; otherwise processing errors may occur The reference attribute will have a value suitable for accessing the referenced relation Since the relation-schemas shown in our examples do not indicate the domain types, we do not know if job or dep no reference other entity relations
We may not be able to compute an employee s pay if the duty performed does not exist in the Duty description
A further transformation, to third-normal-form, removes any dependencies found among attributes within the dependent part The dependent part of a relation may still contain attributes which are mutually dependent; or, formally, there may exist an F D(Bq ) = Bp or a M VD(Bq ) = Bp , where Bi is de ned as in Eqs 7-3 and 7-4 New referenced relations are de ned for such dependencies The structural model will again note the relationship between the referencing and the referenced relation using a reference connection
366 Auto section a:
assembly, 750381 750381 750381 750381 750382 750382 assembly, 750381 750381 750381 730381 730382 730382 type
Database Structure
RELATION
color, Red Red Red White White White colorcode, 93471 93471 93471 93474 93474 93474 ;
Body Fender Engine Seatframe Body Fender type
(a) Relation with F D(B1 ) = B2 Colors: RELATION
colorcode; 93471 93474 93476
Auto section b:
RELATION
color, Red Red Red White White White ;
color Red White Blue
Body Fender Engine Seatframe Body Fender
(b) Third-normal-form relations
Figure 7-11
Transformation to third-normal form
In Fig 7-11 the dependent part of a relation describes the colors of automobile subassemblies Each color has a colorcode assigned This redundancy can be removed by assigning a lexicon for Colors In the nal structure (b) only the colors relation has to be changed if the decision is made to change the colorcode of the color red for parts in the inventory Such an update is correct and safe if the color code because functionally dependent on the color name If this functional dependency would not have been extracted and the model changed accordingly to Fig 7-11b, this update would have to change many tuples in Fig 7-11a During the update transaction the le will be inconsistent If the functional dependency were not recognized by the update transaction, some needed changes could be missed
Redundancies in the dependent part are not restricted to one-to-one attribute relationships An employee s job speci cation may contain many subsidiary attributes Among these will be values which are functionally dependent on the job title In order to remove this redundancy, a new referenced entity relation will be created which describes the properties of the job as shown in Fig 7-12 A single reference attribute in the employee entity relation will then refer to the job relation by using the ruling part of the job tuples
In the initial People relation (Fig 7-3d), both spouse and spouse age were included within the dependent part of the relation, but Fig 7-3b indicated a relationship between these attributes: F D(spouse) = spouse age, just as F D(name) = age This leads to a redundancy when a spouse, say Mary, is also entered in the People relation Transformation to third normal form will eliminate this redundancy
Job description:
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