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View level The highest level of abstraction describes only part of the entire database Even though the logical level uses simpler structures, complexity remains because of the variety of information stored in a large database Many users of the database system do not need all this information; instead, they need to access only a part of the database The view level of abstraction exists to simplify their interaction with the system The system may provide many views for the same database Figure 11 shows the relationship among the three levels of abstraction An analogy to the concept of data types in programming languages may clarify the distinction among levels of abstraction Most high-level programming languages support the notion of a record type For example, in a Pascal-like language, we may declare a record as follows: type customer = record customer-id : string; customer-name : string; customer-street : string; customer-city : string; end; This code de nes a new record type called customer with four elds Each eld has a name and a type associated with it A banking enterprise may have several such record types, including account, with elds account-number and balance employee, with elds employee-name and salary At the physical level, a customer, account, or employee record can be described as a block of consecutive storage locations (for example, words or bytes) The language

There is one nal issue to be addressed A tuple-relational-calculus expression may generate an in nite relation Suppose that we write the expression {t | (t loan)} There are in nitely many tuples that are not in loan Most of these tuples contain values that do not even appear in the database! Clearly, we do not wish to allow such expressions To help us de ne a restriction of the tuple relational calculus, we introduce the concept of the domain of a tuple relational formula, P Intuitively, the domain of P, denoted dom(P ), is the set of all values referenced by P They include values mentioned in P itself, as well as values that appear in a tuple of a relation mentioned in P Thus, the domain of P is the set of all values that appear explicitly in

The inverse Laplace transform of this expression is given by h(t) = t n 1 e at (145)

The McGraw Hill Companies, 2001

The three choices in this dialog box are: Detect by Time Stamp (DV only) This option enables Pinnacle Expression to use the time code that is recorded by your DV camcorder to determine when scenes change This is the most reliable method of detecting scene changes, since there is a break in the time code whenever you stop recording (and this, of course, is when each scene ends) Detect by Content This option is considerably less reliable, since Pinnacle Expression has to guess that there is enough difference between frames to indicate that the scene has changed Unfortunately, this is also the only way to automate scene detection in imported video files, since they do not contain a time code No Scene Detection This option simply brings in the whole video as one scene, and you must manually add scene breaks if you want them in your movie When you have finished adding video and image files to your list, you can move on to the next step of creating your movie

3

P or that appear in one or more relations whose names appear in P For example, dom(t loan t[amount] > 1200) is the set containing 1200 as well as the set of all values appearing in loan Also, dom( (t loan)) is the set of all values appearing in loan, since the relation loan is mentioned in the expression We say that an expression {t | P (t)} is safe if all values that appear in the result are values from dom(P ) The expression {t | (t loan)} is not safe Note that dom( (t loan)) is the set of all values appearing in loan However, it is possible to have a tuple t not in loan that contains values that do not appear in loan The other examples of tuple-relational-calculus expressions that we have written in this section are safe