### Table 7: Summary for criterion 6: Programmed change robust to evolution.

### Table 4. Robustness of control programs in various maps

"... In PAGE 4: ... Second, the robot vision detected different joint position due to variation in lighting and shadows. Table4 shows the robustness measure from each map. The robustness value obtained depends on maps.... ..."

### Table 2. Solutions for the robust control benchmark

"... In PAGE 8: ... The proposed solution goes beyond previous ones. Table2 shows two controllers proposed by other authors and referenced as good solutions (W34 and M34). Controllers obtained with PP+GA are also presented at Table 2 (PPGA34 and PPGA23*).... In PAGE 8: ... Table 2 shows two controllers proposed by other authors and referenced as good solutions (W34 and M34). Controllers obtained with PP+GA are also presented at Table2 (PPGA34 and PPGA23*). Comparison between them has been done analyzing the six proposed specifications.... ..."

### Table 4 Robustness Standard Controls and Time Trend

"... In PAGE 11: ...3.1 Alternative measurement of liberalizations In panel A of Table4 , we measure the impact on consumption growth volatility where alter- natively we replace the Official Liberalization indicator with the Intensity variable. Similar to Table 3, we do not display the coefficients associated with the control variables.... In PAGE 12: ...First, we introduce an interaction term between initial GDP and government size in the basic regression. The results in panel B of Table4 show that the interaction is highly significant in both samples and of similar magnitude. In relatively wealthy countries, a larger government sector is associated with lower volatility.... ..."

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### Table 6. Comparison of Control Policies with Criterion II.

1997

"... In PAGE 15: ... Also used in this table is the second criterion, which obtains an initial state for each of the methods for which the best hedging point is that initial state. Finally, in Table6 we use... In PAGE 22: ...nd KC for initial (x1; x2) = (2:64; 1:58) is (2.62,1.60). Table6 uses the third criterion so that the parameter values used for all di erent initial states are the ones that appear in Table 5 in the row with the initial state (0,0). In Table 7, we provide computational times for obtaining HC and TBC with respect to problems C1-C4.... In PAGE 24: ... Indeed, in cases with large positive surplus, the value of 1 for KC must be smaller than that for HC. Furthermore, in these cases with positive surplus, the cost di erences in Table6 must be larger than those in Table 5, since Table 6 uses hedging point parameters that are best for initial (x1; x2) = (0,0). These parameters are the same for HC and KC.... In PAGE 24: ... For example, this happens when the initial (x1; x2) = (0,50); see Table 5. As should be expected, the di erence in cost for initial (x1; x2) = (0,50) in Table6 is quite large compared to the corresponding di erence in Table 5. Asymptotic Behavior of HC, TBC and OC Before concluding the paper in the next section, let us make some important remarks regarding asymptotic optimality.... ..."

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### Table 5 Robustness checks

2004

"... In PAGE 16: ....3. Robustness of the static model Having taken as our starting point the specification of Cutler and Gruber (1996), we now examine the robustness of our results to changes in specification. Table5 presents these specification checks, beginning with a model including only eligibility and ending with our preferred specification that we will use for the remainder of the paper. From the first three columns, it is clear that while there is a negative relationship between eligibility and private coverage in the regression with no controls, this estimate of the effect of eligibility on private coverage is biased downward by the omission of age and year effects.... ..."

### Table 2. Robustness checks on DFI flows 12345678910 control: FD growth

2004

"... In PAGE 23: ... Introducing weights does not affect the results. Table2 redoes the specification reported in Table 1, but includes a number of robustness checks. Direct foreign investment is likely to be correlated with a number of country-level measures of economic well-being, including GDP growth and the general level of financial development.... In PAGE 23: ... In this case, the results could simply arise from omitted variable bias, where DFI proxies for the expansion of domestic credit. The results in Table2 indicate that this is not the case. If we add a variety of additional controls, the coefficient on DFI*cash stock is unaffected.... In PAGE 24: ... Since foreign investment is attracted to fast-growing countries, DFI may simply be capturing the fact that fast-growing countries experience a reduction in financing constraints. The results in Table2 indicate that GDP growth has no impact on financing constraints. Inclusion of GDP growth interacted with cash stock has no impact on the DFI*cash coefficient.... In PAGE 24: ... Although we find that an expansion in M2 eases the financing constraints of firms, as expected, inclusion of this variable does not affect the magnitude or significance of the coefficient on DFI*cash. The results in Table2 suggest that the impact of foreign investment on domestic financing constraints is remarkably robust. 25 The original indicators were standardized to have mean of zero and standard deviation of one.... ..."

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### Table 2: Robustness Check

"... In PAGE 19: ... Specificaly, being self-employed increases the justifiability of evading taxes quite substantialy (marginal efects around 5 percentage points). [TABLE 1 ABOUT HERE] Next, Table2 reports several robustnes checks for the gender efect summarizing the results of 30 regresions (se EQ5 to 34). The first result column focuses on the justifiability of corruption, the second on the justifiability of tax evasion (tax morale).... In PAGE 19: ...betwen 5.5 and 6.4 percentage points). Next, Table2 reports estimations using each of the years in our sample (1981, 1990 and ... In PAGE 21: ...21 The next thre estimations in Table2 stil control for the economic situation but we also add variables for trust in the state and national pride. Torgler and Schneider (2006) show that theses are key variables to understand the level of tax morale.... In PAGE 24: ...upport a cohort efect. However, we could observe a strong and robust age efect. Thus, our results are not in line with the equality and role theory that would suggest a decrease of gender diferences with greater equality of status betwen men and women over time. Our results were also supported when focusing independently on diferent time periods in Table2 . We also observed an age rather than a cohort efect when investigating the entire data set (men and women) in Table 1.... ..."

### Table 1 Fixed-Order, Fixed-Step Control.

"... In PAGE 13: ...Table1 gives the results obtained by integrating the orbits with formulas of orders 7, 9, 11, and 13. These integrations were carried out with various stepsizes, where in each case the step- size was increased until Un failed to satisfy the inequality over the entire range of integration (chosen arbitrarily as 4000 minutes).... In PAGE 14: ...Table1 suggest the following observations: For a given local error criterion, increasing the order does not generally imply a larger quot;allowable quot; stepsize. Since the propagation of error (both truncation and round-off) influences the quot;smoothness quot; of thd higher-order differences (and hence our local error estimate), this behavior is to be expected, both from the inaccuracies in the differences and from an unstable p and h com bination.... In PAGE 16: ...responding results in Table1 the local error was insignificant for most of the integration. In all cases, the optimum-step computation-type interval modification yielded fewer derivative evaluations than halving-doubling, with little or no loss of accuracy.... ..."

### Table 1 Experimental Results for Robust Control (by the PBM algorithm)

1999

"... In PAGE 13: ... All presented problems are of type (SDP) with the linear objective and the additional constraint kxk 109: The CPU times are given for the IBM RS/6000 workstation. Table1 demonstrates a small number of Newton steps for ill-conditioned problems of robust control.... ..."

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