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attributes and measure attributes The data cube consists of multidimensional data summarized in different ways Precomputing the data cube helps speed up queries on summaries of data Cross-tab displays permit users to view two dimensions of multidimensional data at a time, along with summaries of the data Drill down, rollup, slicing, and dicing are among the operations that users perform with OLAP tools The OLAP component of the SQL:1999 standard provides a variety of new functionality for data analysis, including new aggregate functions, cube and rollup operations, ranking functions, windowing functions, which support summarization on moving windows, and partitioning, with windowing and ranking applied inside each partition Data mining is the process of semiautomatically analyzing large databases to nd useful patterns There are a number of applications of data mining, such as prediction of values based on past examples, nding of associations between purchases, and automatic clustering of people and movies

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A database schema, along with primary key and foreign key dependencies, can be depicted pictorially by schema diagrams Figure 39 shows the schema diagram for our banking enterprise Each relation appears as a box, with the attributes listed inside it and the relation name above it If there are primary key attributes, a horizontal line crosses the box, with the primary key attributes listed above the line Foreign

The McGraw Hill Companies, 2001

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To extend your understanding, let us apply the integrity rules to several tables in the university database The primary key of Student is StdSSN A primary key can be designated as part of the CREATE TABLE statement To designate StdSSN as the primary key of Stu dent, you use a CONSTRAINT clause for the primary key at the end of the CREATE TABLE statement The constraint name (PKStudent) following the CONSTRAINT keyword facili tates identification of the constraint if a violation occurs when a row is inserted or updated CREATE TABLE Student (

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key dependencies appear as arrows from the foreign key attributes of the referencing relation to the primary key of the referenced relation Do not confuse a schema diagram with an E-R diagram In particular, E-R diagrams do not show foreign key attributes explicitly, whereas schema diagrams show them explicity Many database systems provide design tools with a graphical user interface for creating schema diagrams

StdSSN StdFirstName StdLastName StdCity StdState StdZip StdMajor StdClass StdGPA CONSTRAINT PKStudent PRIMARY KEY (StdSSN)

A query language is a language in which a user requests information from the database These languages are usually on a level higher than that of a standard programming language Query languages can be categorized as either procedural or nonprocedural In a procedural language, the user instructs the system to perform a sequence of operations on the database to compute the desired result In a nonprocedural language, the user describes the desired information without giving a speci c procedure for obtaining that information Most commercial relational-database systems offer a query language that includes elements of both the procedural and the nonprocedural approaches We shall study the very widely used query language SQL in 4 5 covers the query languages QBE and Datalog, the latter a query language that resembles the Prolog programming language In this chapter, we examine pure languages: The relational algebra is procedural, whereas the tuple relational calculus and domain relational calculus are nonprocedural These query languages are terse and formal, lacking the syntactic sugar of commercial languages, but they illustrate the fundamental techniques for extracting data from the database Although we shall be concerned with only queries initially, a complete datamanipulation language includes not only a query language, but also a language for database modi cation Such languages include commands to insert and delete tuples,

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The McGraw Hill Companies, 2001

as well as commands to modify parts of existing tuples We shall examine database modi cation after we complete our discussion of queries

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The relational algebra is a procedural query language It consists of a set of operations that take one or two relations as input and produce a new relation as their result The fundamental operations in the relational algebra are select, project, union, set difference, Cartesian product, and rename In addition to the fundamental operations, there are several other operations namely, set intersection, natural join, division, and assignment We will de ne these operations in terms of the fundamental operations

The select, project, and rename operations are called unary operations, because they operate on one relation The other three operations operate on pairs of relations and are, therefore, called binary operations

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