### Table 2: Degrees of freedom for the meshes used for the bimaterial problem. Mesh FEM X-FEM X-FEM (h) (No Enrichment) (Enrichment)

"... In PAGE 22: ...Bimaterial Boundary Value Problem 22 and in the X-FEM computations are presented in Table2 . The numerical results for the convergence in energy norm are shown in Fig.... ..."

### Table VII. Centre-crack under remote shear: material mismatch study. X-FEM Exact solution

2003

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### Table 1: Convergence study: SIFs and relative error in the energy norm.

"... In PAGE 8: ...rack (BC) is modeled by the X-FEM (Fig. 2a). The scaling factor rk = 4 is used in the domain integral computations. The results of the convergence study are listed in Table1 and in Fig. 2b, the relative error in the energy norm is plotted as a function of the mesh spacing he (log{log plot).... ..."

### Table 1 SIFs for the penny crack problem

2002

"... In PAGE 14: ... The SIF results have four-fold symmetry; hence results for only 0C176 6 h 6 90C176 are presented. In Table1 , the numerical SIF results are presented as a function of h, and in addition comparisons with the results obtained in the earlier implementation of the X-FEM without the level set representation for cracks [33] are also shown to demonstrate the accuracy of the new technique. The results are observed to be in good agreement with the exact solution: the errors in the SIFs are between 0.... ..."

### Table 1. Spectral Regions used in D/H Measurement

"... In PAGE 6: ...can then compare the best t values of D/H for each model, and assess the e ect of the di erent assumptions used in each model. All 7 models include the spectral regions listed in Table1 , the number of D/H components chosen for each model, and the 64 H I absorbers listed in Table 2. The models are of three types.... ..."

### Table 7. Selected hydraulic parameters used for the step-backwater models in Lorain County, Ohio [ft/ft, feet per foot]

### Table 6 R2 values (with 95% conFFdence/credible intervals) at diVTerent levels for the FFrst psychiatric study, using diVTerent modelling strategies

2003

"... In PAGE 21: ....1. Studies in schizophrenia In the FFrst psychiatric study, several options were studied considering the units available. The FFrst row in Table6 shows the results obtained when Strategy I was applied. That is, the coeSOcient of determination associated to a particular level was estimated using a (two-stage) model including only this level and individual variability.... In PAGE 21: ... Finally, a random-eVTects (Strategy III) analysis, based on the Bayesian approach, was performed. The results are shown in the last row of Table6 . One can see that the estimates of the magnitude of the association forthe two highest levels (main investigatorand country) are lowerthan those obtained forthe two otherstrategies.... In PAGE 21: ...I. [0:44; 0:96]), obtained using Strategy I, is within the range of the estimates observed for the FFrst study (see Table6 ). This observation supports the claim that might have been able to reasonably accurately quantify the surrogacy of PANSS for CGI in the context of certain compounds for schizophrenia.... ..."

### Table 1. Structure of the Study: Task Settings

2000

"... In PAGE 9: ... Besides the three independent variables (task difficulty, animation color, and animation content), baseline condi- tions, where no animation was used, were also considered for tasks with two different difficulty levels. The experiment consisted of 10 imposed settings, as depicted in Table1 . Each subject did a total of 20 tasks, two for each setting.... In PAGE 14: ... That is: p = accuracy/time*1000, while the constant 1,000 is to eliminate the decimal places of the p scores. The three factors in Table1 , presented earlier, are analyzed at two levels. Level 1 considers a full 2 x 2 factorial repeated measure analysis of animation conditions (baseline and animation) and task difficulty conditions (simple and difficult).... ..."

Cited by 9

### Table 1. Functionally similar protein groups

"... In PAGE 2: ... 2.4 Positive and negative sets We chose five well-characterized positive groups so that all members within each group share a similar function, and this shared function is dependent on known functional residues ( Table1 ). Definitions for the four superfamilies were taken from the Structure-Function Linkage Database (SFLD) (Pegg et al.... In PAGE 2: ..., 2005). However, the SFLD as yet contains only a few superfamilies, so to mimic a more typical usage of GASPS on less than perfect classifications, for all five groups of proteins studied here, a positive set of structures was selected based on SCOP superfamily and family classifications (given in Table1 ). Each positive set is a subset of the structure library with the modification that all chains within a PDB structure file are included.... In PAGE 3: ...1.2 Cross-validation studies To estimate the performance of GASPS on new proteins, leave-one-out cross-validation studies were completed on each of the groups in Table1 . RMSD thresholds were chosen for each top GASPS motif to give a false positive rate of C240.... In PAGE 4: ... However, even on groups where functionally important residues are known, GASPS is still useful if it is able to select a more sensitive motif. We constructed motifs built from the func- tionally important residues (see Table1 ) for all possible query structures and compared their sensitivity with GASPS motifs. For all groups except SP, the GASPS motifs have higher sensitivity than simply using these functional residues (Fig.... In PAGE 4: ...heir website (http://www.ebi.ac.uk/thornton-srv/databases/CSA/). We used each of the structures in our positive sets to search the CSA with Jess and scored true positives according to whether the motif originated from the same group (defined in Table1 ) as the original query. Maintaining similar specificity as required for GASPS, we should require that Jess, with only 147 motifs, identify true positives with greater E-value than any false positive.... In PAGE 5: ... This allows us to ask if there is a relationship between the residues that discriminate proteins of related function and the residues that we know from experimental studies provide function. Table1 shows the residues that are known to be directly involved in shared function or used in previous func- tional motif studies. These are used as our gold standard of key functional residues.... In PAGE 6: ..., 2001). Unlike the other groups given in Table1 , however, this shared chemistry is not performed by side- chains but by two structurally conserved NH groups of the peptide backbone that function as part of an oxyanion hole. The sidechains of these residues are not strictly conserved across the superfamily nor are there any other sidechains known or predicted to act in catalysis that are conserved across the entire superfamily.... ..."

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### Table 3b. Solution Statistics for Model 2 (Minimization)

1999

"... In PAGE 4: ...6 Table 2. Problem Statistics Model 1 Model 2 Pt Rows Cols 0/1 Vars Rows Cols 0/1 Vars 1 4398 4568 4568 4398 4568 170 2 4546 4738 4738 4546 4738 192 3 3030 3128 3128 3030 3128 98 4 2774 2921 2921 2774 2921 147 5 5732 5957 5957 5732 5957 225 6 5728 5978 5978 5728 5978 250 7 2538 2658 2658 2538 2658 120 8 3506 3695 3695 3506 3695 189 9 2616 2777 2777 2616 2777 161 10 1680 1758 1758 1680 1758 78 11 5628 5848 5848 5628 5848 220 12 3484 3644 3644 3484 3644 160 13 3700 3833 3833 3700 3833 133 14 4220 4436 4436 4220 4436 216 15 2234 2330 2330 2234 2330 96 16 3823 3949 3949 3823 3949 126 17 4222 4362 4362 4222 4362 140 18 2612 2747 2747 2612 2747 135 19 2400 2484 2484 2400 2484 84 20 2298 2406 2406 2298 2406 108 Table3 a. Solution Statistics for Model 1 (Maximization) Pt Initial First Heuristic Best Best LP Obj.... In PAGE 5: ...) list the elapsed time when the heuristic procedure is first called and the objective value corresponding to the feasible integer solution returned by the heuristic. For Table3 a, the columns Best LP Obj. and Best IP Obj.... In PAGE 5: ... report, respectively, the LP objective bound corresponding to the best node in the remaining branch-and-bound tree and the incumbent objective value corresponding to the best integer feasible solution upon termination of the solution process (10,000 CPU seconds). In Table3 b, the columns Optimal IP Obj., bb nodes, and Elapsed Time report, respectively, the optimal IP objective value, the total number of branch-and-bound tree nodes solved, and the total elapsed time for the solution process.... ..."