### Table 8: Relationship between maxtfj and documentj ranking

1996

"... In PAGE 11: ... We found, in particular, that the maximum term frequency (maxtf) for each document had a controlling e ect. Table8 shows the relationship between the maxtf and document ranking for two relevant documents for two selected queries. Since the maxtf frequencies seem to dominate concept assignment and therefore doc- ument to query relevance, their frequencies within an OCR collection is crucial to under- standing the e ect of this kind of data.... ..."

Cited by 29

### Table 1. The List of Crucial Information

"... In PAGE 4: ....2.1 Data Requirements The following data are needed for the main study: (a) the crucial information and functions for users to make a choice decision between the car and public transport; (b) user perceptions and the likely use of FTISs; (c) individual behavioural changes for various journeys as a result of using FTISs; and (d) profiles of respondents. A list of crucial information contents and a list of the system functions that will be provided by FTISs are developed (see Table1 and 2). The lists include not just travel time and costs, but also information and knowledge regarding comfort, convenience, flexibility, independence, environmental impacts and ways to offset car emissions.... ..."

### Table 12: Some Crucial Informations

### Table 1: Taxonomy of the possible con icts between two local views Furthermore, for integration to be successful, it is crucial to identify not only the set of common concepts but also the set of di erent concepts in di erent systems that are mutually related by some semantic properties. These properties are called interschema properties [BLN86]. They are semantic relationships which hold between a set of objects in one schema and a di erent set of objects in another schema. For reasons of completeness, these relations should be represented in the global view. Table 2 lays out the possible interschema relations. A global view provides the user with a personalized view in which most con icts are resolved and interschema relationships are expressed. De nition 3 An object-oriented view is de ned as a set of virtual classes that are populated by local or imaginary objects. Imaginary objects do not directly correspond to local objects but to parts 11

1995

"... In PAGE 11: ... Even when all component schemas are represented by the same data model, however, con icts may still occur. Table1 gives a taxonomy... ..."

Cited by 2

### Table 6.2 on page 42 describes a three step mechanism of establishing a SW relationship. Assuming the case of a DC.references property with an OWL property constraint owl.sameIndividualAs this procedure is identical to a foreign key lookup in the relational model, with the sole difference that there are no tables involved, but individual resource nodes (records). In this case the following statement will be added to each resource node of type S (subject): Sx references Oy. A crucial point here is the question, if Oy is of type Resource, or of type Literal3. If the object value is a resource node of the right type, one can just load this resource and is finished.

in Submitted by

2004

### Table 2: Common Gravity Model Controls, Their Estimated Relationship with Bilateral Trade In Past Studies and Variable Description

"... In PAGE 7: ... It is crucial for us to outline this diversity of approaches to justify the use of the model averaging methodology. Table2 summarizes the degree of model uncertainty by tabulating the relationships of our covariates with bilateral trade as estimated by earlier studies. The table highlights the many attempts to identify determinants of trade flows, and the plethora of differing and/or opposite results.... In PAGE 13: ...2. Table2 lists and describes all variables. 4.... ..."

Cited by 1

### Table 2.1 Relationship between di erential forms and vector elds in 3D di erential forms spawns the familiar di erential operators of vector analysis (see table 2.2). The appropriate transformation of di erential forms under a smooth change of variables is described by the pullback operator, whose meaning for the vector proxies is listed in table 2.2. A crucial feature of the pullback is that it commutes both with integration and the exterior derivative. Given a triangulation Th (in the sense of [14]) of some domain 2 Rn, we choose some polytope as a reference element for each type of element occurring in Th. We demand that for each element we can nd a smooth, regular, maybe a ne, mapping

1999

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### Table 1: Comparison of convergence results for the energy and other crucial quantities for

1998

"... In PAGE 3: ... However, for the present problem of a non-convex energy density, the results are rather sobering: In general, it can only be shown that a minimizing deformation u h 2A h satisn0ces En28u h n29 n14 Ch 1=2 ; n2810n29 where C denotes a generic constant that may depend on the topology of the quasiuniform triangulation T h and the domain n0a but not on the mesh-size h, see n5b8, 18, 17n5d, and n5b7n5d for a den0cnition of quasiuniformity.For a complete list of results for important quantities, see Table1 above. Moreover, it turns out that the quality of the approximation depends strongly... In PAGE 4: ... To this end, we present a new algorithm based on discontinuous n0cnite elements. It will be shown that this algorithm allows much improved convergence rate estimates for the energy, namely On28h 2 n29, and other quantities of interest as they are given in Table1 . In particular, the resolution of laminate microstructure on general meshes is much better than by the classical n28non-n29conforming discussed above.... In PAGE 7: ... The earlier case cancels out the contribution from the n28scaled, squaredn29 L 2 -norm of the deformation on the interior n0cnite elements and gives rise to an energy functional that is rotationally invariant, whereas the latter case is not rotationally invariant anymore, but allows for better approximation of the volume fractions. Again, we stress the fact that these convergence results are much better than those derived for the conforming n28using n28bi-, tri-n29linear ansatz functions, see n5b18n5dn29 or classical nonconforming n28using piecewise rotated n28bi-,trin29linear ansatz functions, see n5b18, 16n5dn29 n0cnite element methods, see also Table1 . This ren0dects the increased accuracy of the ansatz for non-aligned meshes: The misaligned triangulation does not lead to a dramatic pollution of the computed solution anymore.... ..."

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### Table 1: Summary of convergence results for the energy and other crucial quantities for

1999

"... In PAGE 1: ... The improved performance of this method is tested in computational experiments as well as supported through a rigorous convergence analysis, giving drastically improved orders of convergence, if compared to results for clas- sical conforming and nonconforming ansatzes. We refer to Table1 for a comparison of the distinct methods. The goal of the present paper is to propose a new adaptive method to resolve laminated microstructure, with the main focus on the verin0ccation of improved convergence statements 1 Mathematisches Seminar, Christian-Albrechts-Universitn7fat Kiel, Ludewig-Meyn-Str.... In PAGE 2: ...iscontinuity of a computed solution, i.e., the heightofinter-element jumps. We will outline the strategy in section 3, and propose the new adaptive algorithm there. | The application of such an adaptivity strategy allows for convergence results that are superior to those of previous methods collected in Table1 , even for the method that is based on discontinuous ansatz functions. We refer to Theorem 3.... ..."

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