### Table I. Test Matrices and Their Disciplines Discipline Matrices

2003

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### TABLE IV DIFFERENTIAL EQUATION

1997

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### Table 1- Methods for solving differential equations Method Message Description

"... In PAGE 3: ... In the more optimistic synchronization strategy we are currently developing, the objects encapsulating analog behavior may use a sufficient small time step as needed by the numerical integration, while synchronization with other objects will be made only when objects have to communicate events on interface signals. The analog objects have default methods, where the equations and parameters are included, as shown in Table1 . The Start method is responsible for the initialization of parameters, such as the integration step.... ..."

### Table D1 Present values of average costs of conservation and dissemination in perpetuity

1999

### Table 2 Average precision and R-precision of each run Topic Fields initial run feedback Average precision R-precision

in Experiment on pseudo relevance feedback method using Taylor formula at NTCIR-3 patent retrieval task

2003

"... In PAGE 5: ...93.32. 4.2 Overall Performance Table2 shows search performance of each run. Unfortunately, pseudo relevance feedback using relevance feedback techniques has no effect on the performance.... In PAGE 5: ... Unfortunately, the failure prevents us from comparing empirically effectiveness of the Taylor formula based method with that of traditional Rocchio method. As shown in Table2 , it seems that there is no statistically significant difference between the two methods within the range of re- sults obtained from our experiment. 5 Concluding remarks An alternative feedback method based on Taylor formula proposed by Kishida [1] has unique characteristics as follows; (a) the method is suitable when the degree of relevance is represented as a continuous value, not dichotomous value.... ..."

Cited by 1

### TABLE 1. Comparison of Values Obtained from the Numerical Solution of the Differential Equations with the Values Given by the Simulation t

2002

Cited by 38

### Table 6 give some idea of the magnitude. The results from our other paper provide us with estimates of the effects of these changes on income distribution. By differentiating Equation (3) with respect to the control variables we can therefore summarize the effect on average incomes in the bottom quintile as:

"... In PAGE 19: ...1990s on growth in the 1980s and the change in trade volumes between the 1980s and 1990s, we can use the level of trade volumes in the 1970s as an instrument for trade openness.12 Table6 presents our results using this technique. Our data set consists of 187 observations on growth in the 1990s and growth in the 1980s, for roughly 100 countries.... In PAGE 19: ...rade volumes as described above. The coefficient on trade jumps to 0.48 and remains highly significant. This result is not driven by a few extreme cases in the data, as shown in Figure 8 where we plot the partial correlation between trade and growth based on the specification in the second column of Table6 . It is worth reiterating that these estimates reflect the effect of changes in trade on changes in growth.... In PAGE 19: ... Furthermore, as long as any time-varying omitted variables are uncorrelated with the level of trade openness two decades previous, our instrumented coefficients will not reflect the spurious omission of these variables.13 In the remaining columns of Table6 we perform a variety of robustness checks on this basic result. In column 3 we replace the trade to GDP ratio with the ratio of FDI to GDP, to see whether this 12 We also instrument for lagged growth using the level of income in the 1970s, as is necessitated by the combination of a dynamic panel and unobserved country-specific effects.... In PAGE 20: ... However, the best way to address this concern is to include a measure of changes in institutional quality directly in the regression, in order to ensure that the coefficient on the trade variable captures only the partial effect of trade. We do this in column 6 of Table6 , using one of the few time-varying proxies for institutional quality that are available back to the 1970s. In particular, we use one minus the ratio of currency in circulation to M2.... In PAGE 21: ... We next consider the argument that the effects of trade reflect omitted policies that are good for growth and are correlated with increases in trade as well. In column 7 we expand the regression to include the three additional time-varying control variables from Table6 : government consumption as a share of GDP, the logarithm of one plus the inflation rate, and a dummy variable indicating whether there was a revolution. These variables are all measured as decade averages and are entered as changes in decade averages in the differenced regression.... In PAGE 26: ...The first term captures the effect on incomes of the poor of a change in one of the determinants of growth, holding constant the distribution of income. We refer to this as the growth effect of policies, and we can read this off the growth regression in Table6 as the estimated coefficient on the policy variable of interest. We use the results in the second-last column of this table given our concerns about the final column discussed above.... In PAGE 34: ...0% 2.5% Trade Openness Inflation Stabilization Change in Average Annual Growth in Incomes of the Poor Over a Decade Growth Effect Distribution Effect Notes: Figure shows estimated effect on average annual growth in incomes in the bottom quintile of an increase in trade and a reduction in inflation of the magnitude experience by the group of globalizers based on growth in trade relative to GDP, based on the estimates reported in column (7) of Table6 and column (1) of Table 7, as discussed in the text. Variable definitions and data sources are reported in Table 8.... In PAGE 36: ...01 0.02 Orthogonal Component of Fitted Trade Orthogonal Component of Fitted Growth Notes: This graph reports the partial scatter from the second-stage regression of the two- stage least squares results reported in column (2) of Table6 . Fitted trade and fitted growth refer to the fitted values from the first-stage regression.... In PAGE 42: ... Table6 : Trade and Growth Regressions (1) (2) (3) (4) (5) (6) (7) (8) OLS IV IV IV IV IV IV IV Initial Income 0.419 0.... ..."

### Table 2: Some formalisms used to specify structured dynamical systems according to the continuous or discrete nature of space, time, and state variables of the components. The heading Numerical Solutions refers to explicit numerical solutions of partial differential equations and systems of coupled ordinary differential equations.

2002

Cited by 1