### Table 3: Convergence to the optimum

"... In PAGE 5: ... There are exactly 2 2k + 2 entries in the table. Table3 shows the high rate of convergence of the GP sys- tem to the optimum. We ran 100 experiments for each func- tion (each k).... ..."

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### Table 6: Comparison of method on relative frequency of convergence in the ranges of cost

"... In PAGE 4: ... Because of the stochastic nature of the methods in evolu- tionary computation, in order to avoid reporting the result of a lucky shot in the 100 independent trials, comparison of the experimental results in a statistical manner should be implemented. First of all, Table6 shows the range of the results in 100 trials obtained by CEP, FEP, MFEP, IFEP, MPSO, and rECGA, where the listed results except for that of rECGA are provided in [12, 8]. As we can observe in Ta- 1923... In PAGE 7: ... Since the actual data set of the 100 trials for MPSO is not available, in order to get a fair comparison and assess- ment, we set up two conditions under which the t-test can be conducted. According to the data given in Table6 , the first condition is that the MPSO data set contains forty-seven 122252.265, which is the optimum reported for MPSO [8], and fifty-three 122750, which is the mean value of 122500 and 123000.... ..."

### Table 8: Selection corrected maximum likelihood estimates of self-employment income in 1996 conditional on surviving since 1994

1999

"... In PAGE 19: ... Unfortunately the sample sizes do not allow for this kind of detailed analysis.20 Self-employment income Table8 displays the estimates of the determinants of self-employment income in 1996 (used as a proxy for enterprise growth) given self-employment in 1994 (equation 21).21 Again, neither the receipt of a windfall payment nor the type of windfall payment have a significant effect on income.... In PAGE 20: ... Burke et al (1997), for example, find that the size of any inheritance received has no impact on self-employment income.23 Other notable effects emerge from Table8 . Men have higher self-employment income than women, and unsurprisingly the income received in 1996 is positively related to that received in 1994.... ..."

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### Table 2. Mean selection times (ms) Selection Method

2004

"... In PAGE 5: ... We also found no significant effect due to the snap or border assistive forces. Table2 shows the mean selection times for the menu types and selection methods. These results show the pie menu to be 25% faster than the next best method, the straight linear menu.... ..."

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### Table 5: Type and Number of Inclusion

"... In PAGE 4: ...1 To conflrm the feasibility and applicability of this approach, we manually tagged the inclu- sion relationships present in these documents. Table5 shows the number of incidents found in the documents, as well as the number and the types of inclusion. There are also multiple in- clusions: e.... ..."

### Table 5: Type and Number of Inclusion

"... In PAGE 4: ...1 To confirm the feasibility and applicability of this approach, we manually tagged the inclu- sion relationships present in these documents. Table5 shows the number of incidents found in the documents, as well as the number and the types of inclusion. There are also multiple in- clusions: e.... ..."

### Table 5. Inclusion rates for proper names and technical terms using the combined method. Query Type Top-1 Top-3 Top-5

"... In PAGE 13: ...identification [6, 8]. As a result, the top-1 inclusion rate was obtained at 40% and 44% for the scientist and disease names, respectively (see Table5 ). Some examples of the correct translations extracted using the combined method are shown in Table 6.... ..."

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### Table 2 shows average values of the speed of convergence for the three different methods for Example 1. Avg Count is the average of the number of iterations until a converged solution is reached, while Stdev Count is the standard deviation of the Count data with the respect to the Avg Count. Div shows the percentage of cases that either diverged or converged to a local optimum. A function evaluation was deemed to have found a local optimum and not the true optimum if the value of the limit-state exceeded the base (0%)

2005

"... In PAGE 4: ...0% 3.260 3.997 2.188 3.071 3.864 1.839 2.951 3.413 1.133 Table 1 shows the average variable values for Example 1 with g being the average limit-state. Table2 : Convergence and accuracy data for Example 1 AMV CMV ARM Avg Count Stdev Count Div % Error % Avg Count Stdev Count Div % Error % Avg Count Stdev Count Div % Error % 0% 4.... ..."

### TABLE 1. Studies Included in a Multidimensional Meta-Analysis of Psychotherapy for PTSD (continued)

"... In PAGE 3: ...psychiatryonline.org TABLE1 . Studies Included in a Multidimensional Meta-Analysis of Psychotherapy for PTSD Study and Treatment Modalitya Trauma Type Number of Subjects Inclusion Rate (%)b Completion Rate (%) Rate of Diagnostic Change (%) Improvement Rate (%) All Screened Subjects Screened Subjects With PTSD Of Assigned Of Completed Of Assigned Of Completed Brom et al.... In PAGE 4: ...psychiatryonline.org TABLE1 . Studies Included in a Multidimensional Meta-Analysis of Psychotherapy for PTSD (continued) Study and Treatment Modalitya Trauma Type Number of Subjects Inclusion Rate (%)b Completion Rate (%) Rate of Diagnostic Change (%) Improvement Rate (%) All Screened Subjects Screened Subjects With PTSD Of Assigned Of Completed Of Assigned Of Completed Foa et al.... ..."

### Table 1: Boundary conditions

in SUMMARY

"... In PAGE 5: ... The narrowness of the Gaussian pro#0Cle has a relevant in#0Duence on the calculated #0Dame length, so that its parameters have to be determined appropriately #5B19#5D. The boundary conditions are summarized in Table1 . Finally, we note that the use of the de#0Cnition of the vorticity #281#29 for the vorticity outlet boundary condition does not yield any relevantchanges in the computed solution.... In PAGE 5: ... 3. GENERAL SOLUTION ALGORITHM The partial di#0Berential equations #282#29 together with the boundary conditions #28see Table1 #29 are discretized on a two dimensional tensor product grid. A solution is #0Crst obtained on an initial coarse grid.... In PAGE 6: ...i#0Berence expressions. Di#0Busion and source terms are evaluated using centered di#0Berences. We adopt a monotonicity preserving upwind scheme for the convective terms #28see #5B20, p. 304#5D#29, for instance, v r @S @r = maxf#28v r #29 i, 1 2 ; 0g S i , S i,1 r i , r i,1 , maxf,#28v r #29 i+ 1 2 ; 0g S i+1 , S i r i+1 , r i : #283#29 The boundary conditions given in Table1 involve only zero or #0Crst order derivatives. For the latter terms, #0Crst order back or forward di#0Berences can be used, except for two boundary conditions which require a more accurate treatment.... In PAGE 7: ... By comparing our numerical solutions with a primitivevariable solution of the same problem #5B19#5D, we found that these two boundary conditions exerted a strong in#0Duence on the overall accuracy of the numerical solution. The discretization of the partial di#0Berential equations #282#29 together with the boundary conditions #28 Table1 #29 yields a set of algebraic equations of the form F #28U#29 = 0, which is solved using a damped Newton method J#28U n #29#01U n = ,#15 n F #28U n #29; n =0;1;:::; #285#29 with convergence tolerance k#01U n k S #3C 10 ,5 . The Jacobian matrix J#28U n #29 is computed numerically using vector function evaluations and the grid nodes are split into nine independent groups which are perturbed simultaneously #28see #5B2#5D for more details#29.... ..."