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The compiler doesn t mind if you use them where they re not needed, and it may help to make the operation clearer to readers of your code. In some complex equations, you might need to nest parentheses to ensure the proper order of operations. For example, say you want to know how many seconds a hypothetical family wastes each morning. The adults spend 20 minutes over coffee each morning and 10 minutes reading the newspaper. The children waste 30 minutes dawdling and 10 minutes arguing. Here s the algorithm:

Descriptions about the the implementation of databases tend to be scattered through user manuals, company reports, academic research reports, and internal documents Manufacturers manuals describe only what the system will do and not what it will not do; a number of systems are referenced in Appendix B Manuals do, of course, provide much more detail than can be found in scholarly publications The reference material on IMS alone exceeds by far the size of this book The terminology used is often speci c to the system and may even di er from the terminology used to describe other systems of the same manufacturer Appendix A is intended to be helpful here Descriptions of new systems are found in the popular computing magazines A number of textbooks as Cardenas79 , Kroenke78 , and Tsichritzis77 stress description and comparison of database-management systems Specialized database systems are typically described in application-oriented publications; see the references in Chap 1 Early descriptions in the computer literature included Bachman64 , Dodd66 , Bleier68 , and Hsiao71 Specialized systems include PARS (Siwiec77 ) and TOD (Weyl75 ) Improvement of binding choices is considered by Stemple76 Nunamaker73 considers the database system as a unit in a larger user support system Some early work in set-oriented databases (Childs68 ) led to RDMS (Steuert in Rustin74 ), and related systems as MACAIMS (Strnad71 ), SAM (Symonds68 ), and DAMAS (Rothnie in Rustin74 ) Papers by EF Codd (in Codd71 , Rustin72 , and Klimbie75 ) and his colleagues (Boyce75 ) have provided impetus for relational implementations After initial experimentation using APL (Palermo75 ) came several developmental systems, as IS/1 or PRTV (Todd in Kerr75 ), MORIS (Bracchi in Klimbie75 ), INGRES (Held75 , Stonebraker76 ), and SYSTEM-R (Chamberlin76 , King80 )Some systems try to integrate the programming language with database manipulation (Schmidt77 , Shopiro79 , and vandeRiet81 ) Some of these systems are now moving into commerce (Chamberlin81G ) King80 assesses their status Brodie82 surveys the large number of relational systems are now on the market; Appendix B lists many Not all systems going by the name relational provide the same range of functions and their performance di ers greatly Some systems appear even to be limited to handling one relation at a time The process of translation of relational calculus languages is detailed by Codd in Rustin72 and has received much attention Gotlieb in King75 analyzed the cost of joins Merrett81 tries to reduce their costs Problems of operational e ciency are being attacked by Rothnie in Rustin74 , Wong76 , H rder78 , Selinger in Bernstein79 , Yao79 , Aho79S , and a 80 Katz in Chen Sequences of queries are optimized by Finkelstein82 Hall76 and Smith75 consider relational algebras Major joint e orts by users and manufacturers produced the rst large commercial database systems, IDS (Bachman66 ) and IMS (Lutz71 , McGee77 ) Techniques for optimal design, considering both retrieval and update, are due to Yao77,79 and Whang81 Design of CODASYL databases was considered by Gambino77 , and Whang82 provides separability rules Methods to aid database design decisions has been published (Mehl in Rustin74 , Smith in King75 ) Lusk in Chen80 , Hubbard81 , and Gerritsen in Yao82 They all tend to apply to speci c system styles At the same time a number of relatively simple but clean implementations of databases have become available commercially: SYSTEM 2000, ADABAS, TOTAL Commercially available systems have been compared in CODASYL71A (see Olle71 ), Cohen75 , and Palmer75 Many comparisons describe features and su er from lack of an underlying model Comparisons of systems are often part of a company s software selection process and, if they can be obtained will provide good study material Problems faced in hierarchical query design.

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2

(((minDrinkingCoffee + minReadingNewspaper )* numAdults ) + ((minDawdling + minArguing) * numChildren)) * secondsPerMinute;

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Although this works, it is hard to read and hard to get right. It s much easier to use interim variables:

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