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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 higher. Neither has the problem. This quantity comprises the lawsuits of the seventeenth British nationwide convention on Databases (BNCOD 2000), held on the collage of Exeter in July 2000. In settling on the standard papers offered right here, the programme committee used to be p- ticularly attracted to the calls for being made at the expertise through rising software components, together with internet purposes, push expertise, multimedia information, and knowledge warehousing. the worry is still an analogous: pride of consumer - quirements on caliber and function. notwithstanding, with expanding call for for well timed entry to heterogeneous info dispensed on an unregulated net, new demanding situations are offered. Our 3 invited audio system enhance the topic for the convention, contemplating new dimensions referring to consumer necessities in having access to allotted, hete- geneous details assets. within the ?rst paper awarded the following, Gio Wiederhold re?ects at the stress among specifications for, at the one hand, precision and relevance and at the different completeness and bear in mind in bearing on information from heterogeneous assets. In resolving this stress in favour of the previous, he continues that this may essentially a?ect destiny learn 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 via a push know-how in keeping with reactive functions. He continues that this calls for a paradigm shift to a user-centric view of information.
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Extra resources for Advances in Databases: 17th British National Conference on Databases, BNCOD 17 Exeter, UK, July 3–5, 2000 Proceedings
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A description of the calculate next match function in more detail is given in the next section. 2 Algorithm for Calculating the next-match on a Hilbert Curve We refer to the input to the calculate next match function as the current-pagekey and refer to the sub-spaces resulting from a first order division of a space as quadrants regardless of the number of dimensions. Recall that a first order curve passing through a space connects the centre-points of these quadrants, which Using Space-Filling Curves for Multi-dimensional Indexing 29 datum-point P2 P3 P6 Page boundary P5 P4 P7 Page number Query region During query execution: P1 P8 page 1 is found to intersect with the query region and it is retrieved and seached, after which page 7 is found to intersect and is then also retrieved and searched; pages 2 - 6 are ‘stepped over’ Fig.
A review of multi-dimensional indexing methods, including Guttman’s R-Tree [8], is given by Gaede and G¨ unther [7]. 4 Hilbert’s Space-Filling Curve Space filling curves became a topic of interest to leading pure mathematicians in the late 19th century, the first paper being that of Peano in 1890 [16]. 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.
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.