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template <class T> valarray<T> operator+(const valarray<T> ob, const T &v); template <class T> valarray<T> operator+(const T &v, const valarray<T> ob); template <class T> valarray<T> operator+(const valarray<T> ob1, const valarray<T> &ob2); template <class T> valarray<T> operator (const valarray<T> ob, const T &v); template <class T> valarray<T> operator (const T &v, const valarray<T> ob); template <class T> valarray<T> operator (const valarray<T> ob1, const valarray<T> &ob2); template <class T> valarray<T> operator*(const valarray<T> ob, const T &v); template <class T> valarray<T> operator*(const T &v, const valarray<T> ob); template <class T> valarray<T> operator*(const valarray<T> ob1, const valarray<T> &ob2);

classi cation of data management which will provide the structure for all subsequent material We then take familiar concepts from programming and relate them to the presented classi cation This sequence is intended to provide a link between our existing programming experience and the approach taken in this presentation of database-management methodology In Sec 1-8 a list of application areas is given as an aid for the selection of a topic for analysis to be followed throughout the text You may have learned nothing new after you have read this chapter, but the framework established will allow us to proceed through the book in an orderly fashion

StdSSN 123-45-6789 124-56-7890 234-56-7890 995-56-3490 111-56-4490

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A database is a collection of related data The data storage for a database is accomplished by the use of one or more les All les of one database are accessible from one computer or from any interconnected computer if the database is distributed over several computers Procedures in these computers are used to enter data, store data in les, and process the data in response to requests for information A file is de ned to be a collection of similar records kept on secondary computer storage devices Typical of secondary storage devices are disk drives with magnetic disks, but there are a number of alternatives A record is de ned at this point to be a collection of related fields containing elemental data items A more formal and detailed de nition will be developed in Chap 3 A data item is typically represented by a value which is part of a description of an object or an event Computational processes can manipulate such values 1-1-1 Size To warrant the attention and the approaches discussed in this book, the database should be reasonably large We will concentrate on topics that are applicable to

Adds v to each element of ob Returns an array containing the result Adds v to each element of ob Returns an array containing the result Adds each element in ob1 to its corresponding element in ob2 Returns an array containing the result Subtracts v from each element of ob Returns an array containing the result Subtracts each element of ob from v Returns an array containing the result Subtracts each element in ob2 from its corresponding element in ob1 Returns an array containing the result Multiplies each element in ob by v Returns an array containing the result Multiplies each element in ob by v Returns an array containing the result Multiplies corresponding elements in ob1 by those in ob2 Returns an array containing the result

Sec 1-1

123-45-6789

large external les This outlook limits the choice of algorithms that can be applied Collections of data that can be processed in their entirety in the directly addressable memory of a computer, its primary storage, allow techniques that will not be covered here The use of the term database also implies that a variety of people are involved Data entry may be done by people far removed from the users and the data may contain information suitable for several purposes The quantity of data to be handled may range from moderately large to very large These measures of size depend on the hardware and on operational constraints which may apply in a given environment

Table 37-3

Large implies a quantity of data which is greater than a single person can handle alone, even when aided by a computer system The actual quantity will vary depending on the complexity of the data and applications An example of a large database is the integrated personnel and product data system in a manufacturing company of about 6000 employees, with more than 300,000 records of 21 types [Emerson in Jardine74 ]

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