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(As I once heard Codd remark: If something is true, saying it twice doesn t make it any more true) Of course, the relational model itself takes care of this requirement by definition, relations never contain duplicate tuples7 As an aside, I observe that we now have a precise characterization of the notion of duplicate tuples (people use this phrase all the time, and yet I very much doubt whether many of them would be able to define it precisely if pressed) Strictly speaking, of course, two tuples are duplicates if and only if they re the very same tuple just as two integers are duplicates if and only if they re the very same integer and the phrase duplicate tuples thus doesn t really make much sense from a logical point of view.

What people really mean when they use that phrase is duplicate appearances of the same tuple recall from the section Some Prerequisites that value vs appearance is one of the great logical differences (tuples are certainly values, of course) To get back to the main discussion: Second, it s easy to see that the very same tuple can represent any number of distinct propositions As a trivial example, let SCITY and PCITY be the projections of suppliers on CITY and parts on CITY, respectively Given the sample data values of Figure 12-1, then, the tuple <London> appears in both SCITY and PCITY, but it represents two different propositions in SCITY, it represents the proposition There s at least one supplier in London, in PCITY it represents the proposition There s at least one part in London (simplifying slightly for the sake of the example).

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Put yourself on the other end of this transaction. Say you ve called the cable company to come fix a problem for you. You may not care if it takes them a couple days to do so, but you need to know that someone at the cable provider is aware of the problem and working on a solution. Tim Gorman

few years. Specifically, the release of .NET introduced ASP.NET, and future improvements are on the way (such as Atlas13).

What s more and here I have to get a little more formal on you for a moment the same proposition can be represented by any number of distinct tuples, too That s because, formally, the pertinent attribute names are part of the tuple Thus, for example, we might have our usual relvar SP with its attributes S#, P#, and QTY, and predicate: Supplier S# supplies QTY of part P# We might additionally have a relvar PS with attributes SNO, PNO, and AMT, with predicate: Supplier SNO supplies AMT of part PNO And then (to use Tutorial D syntax) the following tuples might appear in these two relvars, respectively:.

7. In other words, it might be argued that a desire to avoid redundancy is one of the motivations (perhaps a minor one) for choosing sets which don t contain duplicate elements, by definition instead of bags, which do, as the right mathematical abstraction on which to found a solid database theory. SQL apologists please note!

1 First of all, integer values (or just integers for short) are self-explanatory Note carefully, however, that if some given value is of type INTEGER, then it isn t of any other type For example, the value denoted by the numeral 3 is of type INTEGER, and type INTEGER only 2 Here s a possible definition for an integer variable called N: VAR N INTEGER ; N here has explicitly been declared to be of type INTEGER; at any given time, the current value of N is some integer value Note: Barring explicit statements to the contrary, all coding examples in this chapter are based on a language called Tutorial D, which is the language we use for examples in the Manifesto book 3.

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