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Table 1: The a posteriori error estimates Acknowledgement: The author wishes to acknowledge Prof. W. Layton for fruitful discussions on the subject of this paper and for the critical reading of the manuscript. References
"... In PAGE 20: ...solving the Navier{Stokes equations on a mesh TH with H gt; h, performing one Newton Step on the mesh Th and solving a defect correction equation on TH . The behaviour of the a posteriori error estimators in comparison to the estimators for Algo- rithm 1 is presented in Table1 where 1 = 1((uh; ph)) and 2 = 2((uh; ph)). Here is quot; gt; 0 for d = 2, quot; = 1=2 for d = 3, k = minfpolynomial degree of the velocity nite elements, polynomial degree of the pressure nite elements + 1, smoothness of the solution (1:6)g and the scaling between the grids as assumed in the previous sections.... ..."
Table 4: Convergence rates for the multigrid V{cycle. The multigrid method with standard transfer operators is divergent. From Table 4 it is obvious that the exponentially tted hierarchical bases transfer operators can compete with the algebraic matrix-dependent transfers. Though it is not as easy to construct them as it is for the matrix- dependent transfer operators they can be generalized to tensor product discretisations (see e.g. [RST96]) of the 2D convection-di usion equation. Acknowledgement. I thank Dr. Willy Dor er for many fruitful discussions and for helping me with the preparation of this paper.
"... In PAGE 9: ... The hierarchical transfer operators are chosen as indicated in Section 4. In Table4 convergence rates are listed for the V{cycle using the di erent transfer operators and Gauss{Seidel and damped Jacobi smoothing, respectively, for the problems (5.... ..."
Table 2 Comparison of execution times (CPU seconds). The above numerical experiments con rm the advantages of the two-level Schwarz method compared other known domain decomposition algorithms. For more computa- tional experiments related to this approach, we refer to [17], which includes a detailed description of the implementation procedures as well as comparisons of di erent solution algorithms when used to solve various applied problems. Acknowledgements. The author would like to express his gratitude to Profes- sor Yu. A. Kuznetsov (Russian Academy of Sciences, Moscow) and Mr. J. Toivanen (University of Jyvaskyla) for fruitful discussions related to the topic. The latter also deserves a special thank for o ering an e cient ctitious domain solver for the numerical experiments.
"... In PAGE 15: ... The subproblems of the Schwarz methods were solved with rather high accuracy ( quot; = 10?8) while the tolerance in the outer iterative processes (the classical and monotonical Schwarz methods) was chosen to be equal to 10?6 in k k1-norm. Table 1 gives the iteration history for the Schwarz methods and Table2 the corre- sponding execution times with two di erent overlappings, of size O( 1 16) and O(18). For the sake of comparison, we have also included the results obtained by the projected SOR method ( apos;PSOR apos;).... ..."
Table 2. fruit related tags that could not be connected semantically
2007
"... In PAGE 9: ... 3. Fruit in the Semantic Web The tags that could not be connected to Fruit fall into five categories (see Table2 ), two of which are related to colors and photo jargons, as discussed before. A new set of interesting tags describes attributes generally related to fruits: {juicy, yummy, delicious, fresh, sweet}.... ..."
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Table 2. fruit related tags that could not be connected semantically
2007
"... In PAGE 9: ... 4. Fruit in the Semantic Web The tags that could not be connected to Fruit fall into five categories (see Table2 ), two of which are related to colors and photo jargons, as discussed be- fore. A new set of interesting tags describes attributes generally related to fruits: {juicy, yummy, delicious, fresh, sweet}.... ..."
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Table 9: t tests on Prices Fruits Internet Price
"... In PAGE 10: ... viii List of Tables Page Table 1: Retailers Selected in This Study 52 Table 2: Fruits Selected in This Study 53 Table 3: F Test 56 Table 4: Demographics Profile of Respondents 59 Table 5: Reasons for Not Buying Fruits Online 61 Table 6: Fruit Consumption and Buying Habits 62 Table 7: Likelihood of Buying Fruits Online in the Next Three to Twelve Months 63 Table 8: Likelihood of Buying Fruits Online Given Certain Criteria 63 Table9 : t tests on Prices 64 Table 10: Proportion of Times the Minimum Internet Price is less than 65 the Minimum Conventional Price Table 11: Important Factors to Consider when Choosing an Online Fruit Seller 68 Table 12: Convenience, Time Saving, Extra Information and Extra Services 69 Table 13: Price Factor 69 Table 14: Descriptive Data on Price Changes 70 Table 15: Proportion of Times Price Dispersion is Lower on the Internet 72 Table 16: Useful Services 74 Table 17: Summary of Findings for all Hypotheses 76 ... In PAGE 76: ...The results of the t tests are displayed in Table9 . Our results suggest that the prices charged for fruits are higher instead of lower on the Internet than in conventional stores: by $0.... ..."
Table 4: Actions in the Fruit Carts Domain.
"... In PAGE 5: ... For example a Grab action re- quires the actor to point to an object, select it, and yet not move it. Table4 shows some of the actions in the Fruit Carts domain along with their semantic... ..."
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Table 11--Fruit and vegetable production by province Province
2004
"... In PAGE 42: ... In addition, because fruit and vegetable production is labor intensive, it is better suited to farms with an abundant labor and small plots. Table11 examines the same indicators for three regions: the East, Central, and Coast provinces, the Rift Valley province, and the Western province. The East/Central/Coast provinces are characterized by the highest value of fruit and vegetable production per farm, two to three times as large as in the other two provinces.... ..."
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