By Gio Wiederhold (auth.), Brian Lings, Keith Jeffery (eds.)

After a decade of significant technical and theoretical developments within the sector, the scope for exploitation of database know-how hasn't ever been better. Neither has the problem. This quantity comprises the court cases of the seventeenth British nationwide convention on Databases (BNCOD 2000), held on the college of Exeter in July 2000. In choosing the standard papers provided right here, the programme committee was once p- ticularly attracted to the calls for being made at the expertise via rising program parts, together with net purposes, push expertise, multimedia facts, and information warehousing. the fear is still an identical: pride of person - quirements on caliber and function. even though, with expanding call for for well timed entry to heterogeneous information disbursed on an unregulated web, new demanding situations are provided. Our 3 invited audio system enhance the subject matter for the convention, contemplating new dimensions bearing on person specifications in having access to disbursed, hete- geneous details resources. within the ?rst paper awarded right here, Gio Wiederhold re?ects at the pressure among standards for, at the one hand, precision and relevance and at the different completeness and keep in mind in referring to info from heterogeneous assets. In resolving this stress in favour of the previous, he keeps that this can essentially a?ect destiny examine instructions. Sharma Chakravarthy provides one other measurement to the requirement on inf- mation, particularly timeliness. He stocks a imaginative and prescient of just-in-time details de- vered by means of a push know-how in response to reactive services. He keeps that this calls for a paradigm shift to a user-centric view of information.

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**Example text**

Xk yk , where each xi is a bit in a coodinate in dimension x, and similarly each yi . The curve is illustrated in Fig. 5. First Order Second Order Third Order Fig. 5. Approximations of the Z-order curve in 2 dimensions The direct relationship between individual bits in coordinates and Z-order derived-keys enables us to adopt a diﬀerent algorithm for the calculate next match function which is more computationally eﬃcient. This relies on manipulating bit values rather than conceptually descending a tree.

A more readable paper, however, is that of David Hilbert in 1891 [9] who gave the ﬁrst geometrical interpretation. We brieﬂy summarise his argument, using the same diagrams he used. Without loss of generality we consider a mapping between the points of a square and a ﬁnite line using the deﬁnition of a point on the line as the limit of an inﬁnite sequence of nested intervals whose length tends to zero and of a point in two dimensions as being the limit of an inﬁnite sequence of nested squares whose area tends to zero.

The sequence number or derived-key of the ﬁrst datum-point on a curve section is used as the corresponding page-key which gives the pages a logical ordering. The page-keys are then indexed using a conventional B-Tree or some variant which gives the physical page addresses. An important point to note in our approach is that it indexes partitions of data rather than partitions of the key-space. This contrasts with most alternative approaches, including the Grid and Bang Files. Our approach enables us to avoid problems arising from partitions overlapping within the index, which are common in other approaches, including those based on the R-Tree and the Bang File.