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Take another look at Table 8-6 Now that Diplomatic_2 is in first normal form, the name column is no longer sufficient to uniquely identify a row, because several rows may exist for a diplomat who speaks multiple languages or is affiliated with more than one group One solution to this problem is to create a new, compound primary key for example, (name, language, work_group) combined to uniquely identify a single row of Diplomatic_2 Table 8-6 appears to be a step backward Not only does it require more space to present the data, but responding to requests such as "Change Temple's title" and "Add Campbell to another group" is now more time consuming This problem is addressed by the remaining normalization steps, which are based on the concept of dependence and the relational rule that in every row of a table each column must be dependent on every part of the primary key Briefly, the concept of dependence has two rules First, if the value of column1 uniquely determines the value of column2, then column2 is functionally dependent on column1 Second, if the value of column1 limits the possible values in column2 to a specific set, then column2 is set dependent on column1 For example, because each diplomat has only one title, name will uniquely determine title therefore, title is functionally dependent on name Further, work_group is set dependent on name, because each diplomat is assigned to one or more of a specific set of groups
The concept of dependence tells us that the title, service_length, and salary columns are not dependent on the entire primary key (name, language, work_group) of Diplomatic_2; they are dependent on name alone Because this violates the relational rule, let's create a new table containing only name, title, service_length, and salary The key for this table will, once again, be name Let's call the new table Diplomats Of the remaining Diplomatic_2 columns, years_used is determined by both name and language and therefore doesn't properly belong to Diplomats, so let's create another new table called Languages using just these three columns The Languages table's key is (name, language) Because Languages also contains the name column, it is still possible to associate a diplomat's language experience with his or her other data Splitting a table like this prevents it from having columns that are dependent on only part of the table's key A first normal form table that also has no partial key dependence is said to be in second normal form (2NF) (A 2NF table is a 1NF table that contains only columns that are dependent upon the entire primary key) Both Diplomats (Table 8-7) and Languages (Table 8-8) are in second normal form Table 8-6 Diplomatic_2 Table name language years_used title service_length salary work_group head_honcho ==== ======= ========= Axworthy French 3 Consul 4 30,00000 WHO Greene Axworthy German 2 Consul 4 300,0000 IMF Craig Broadbent Russian 1 Diplomat 2 25,00000 IMF Craig Broadbent Greek 3 Diplomat 2 25,00000 FTA Crandall Campbell French 2 Consul 3 28,00000 EA Temple Campbell Spanish 1 Consul 3 28,00000 EA Temple Campbell Italian 3 Consul 3 28,00000 EA Temple Craig French 1 Ambassador 8 65,00000 IMF Craig Craig Greek 5 Ambassador 8 65,00000 IMF Craig Craig Russian 2 Ambassador 8 65,00000 IMF Craig Craig Spanish 9 Ambassador 8 65,00000 IMF Craig Crandall French 9 Ambassador 3 55,00000 FTA Crandall Greene French 3 Ambassador 9 70,00000 WHO Greene Greene Spanish 7 Ambassador 9 70,00000 WHO Greene Greene Italian 1 Ambassador 9 70,00000 WHO Greene Greene Japanese 4 Ambassador 9 70,00000 WHO Greene Temple French 4 Ambassador 2 60,00000 EA Temple Temple Russian 2 Ambassador 2 60,00000 EA Temple The situation with the Diplomatic_2work_group column is slightly different We have already noted that a diplomat's name determines the set of groups with which that diplomat is affiliated This information is independent of the languages spoken by the diplomat, so a table with the work_group column shouldn't have language in its primary key But work_group does uniquely determine a group's head_honcho
Remember the Law of Transitivity from 2, "Simple Searches" Well, it applies to dependence as well That is, if column2 is dependent on column1 and column3 is dependent on column2, then it is also true that column3 is dependent on column1 This is known as a transitive dependence column3 is transitively dependent on column1, via column2 In our example, head_honcho is transitively dependent on name, because name determines a set of values for work_group, and head_honcho is functionally dependent on work_group A second normal form table that has no transitive dependence is said to be in third normal form (3NF) and thus fulfills the relational requirement that in every row of a table all columns must depend directly on the primary key, without any transitive dependencies through other columns (A 3NF table is a 2NF table whose non-key columns are also mutually independent; that is, each column can be updated independently of all the rest) Because each work_group has only one head_honcho, let's finish our normalization design by creating two more new tables The first, called Groups, will contain the columns work_group and head_honcho The Groups table's primary key is work_group (head_honcho could also be a key if each diplomat managed only one work_group) And finally, because each diplomat is affiliated with one or more groups, we'll create an Affiliations table, using the columns name and work_group Affiliations forms the association between the Diplomats and Groups tables and is "all key" that is, Affiliations has no additional dependent columns, because the only thing dependent on both name and work_group is the fact that they are associated Table 8-9 shows the third normal form Groups table, and Table 8-10 shows the third normal form Affiliations table Table 8-7 Diplomats Table service_length 4 2 3 8 3 9 2
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