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In practical terms, if a relation is thought of as a table, then projection can be thought of as picking a subset of its columns. For example, if the attributes are (name, age), then projection of the relation {(Alice, 5), (Bob, 8)} onto attribute list (age) yields {5,8} – we have discarded the names, and only know what ages are present.
Equivalently, the projection, is a function, that is, Y is a function of X. [ 1 ] [ 2 ] In simple words, if the values for the X attributes are known (say they are x ), then the values for the Y attributes corresponding to x can be determined by looking them up in any tuple of R containing x .
Fifth normal form (5NF), also known as projection–join normal form (PJ/NF), is a level of database normalization designed to remove redundancy in relational databases recording multi-valued facts by isolating semantically related multiple relationships.
The relational algebra uses set union, set difference, and Cartesian product from set theory, and adds additional constraints to these operators to create new ones.. For set union and set difference, the two relations involved must be union-compatible—that is, the two relations must have the same set of attributes.
An example of such a language is SQL, though it is one that Codd regarded as seriously flawed. [2] The objectives of normalization beyond 1NF (first normal form) were stated by Codd as: To free the collection of relations from undesirable insertion, update and deletion dependencies.
If tuples in R are represented as t 1, ..., t k, the join of the projections of each t i should agree with t on () where i = 1, 2, ..., k. If t i is not on (), the value is unknown. The chase can be done by drawing a tableau (which is the same formalism used in tableau query).
The relational model (RM) is an approach to managing data using a structure and language consistent with first-order predicate logic, first described in 1969 by English computer scientist Edgar F. Codd, [1] [2] where all data are represented in terms of tuples, grouped into relations.
The sixth normal form is currently as of 2009 being used in some data warehouses where the benefits outweigh the drawbacks, [9] for example using anchor modeling.Although using 6NF leads to an explosion of tables, modern databases can prune the tables from select queries (using a process called 'table elimination' - so that a query can be solved without even reading some of the tables that the ...