### Table 2.2: Homogeneous coordinate correspondences between adjacent slabs.

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### Table 3: The member data for a vertex. We store a homogeneous vertex coordinate for compatibility with our matrix libraries.

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### Table 8.3 shows the results of a more substantial experiment. The table was generated by the program below. We first generate a list L0 of n random points either on the unit circle or in the unit square. We then construct a list L1 of points whose homogeneous coordinates are d bit binary numbers for different values of d by truncating the Cartesian coordinates to d bits; for d = 60 no truncation takes place (this is indicated by the infinity-sign in Table 8.3. We construct the Delaunay diagram for the points in L1.

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### Table 8.3 Efficacy of floating point filter: The top part contains the results for random points on the unit circle and the lower part contains the results for random points in the unit square. In each case we generated 10000 points. The first column shows the precision (= number of binary places) used for the homogeneous coordinates of the points, the second column contains the number of distinct points in the input. The other columns contain the number of tests, the number of exact tests, and the percentage of exact tests performed for the compare, the orientation, and the side of circle primitive.

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### Table 1: Number of steps to coordination

"... In PAGE 3: ...) 3.1 Sharing of Knowledge Figure 2 is based on the last column of Table1 . Fig ure 2 shows that the time to achieve coordination lias the same order as the sharing metric.... In PAGE 3: ... Fig ure 2 shows that the time to achieve coordination lias the same order as the sharing metric. To reduce clut ter, we only show the graphs for a cubic polynomial that was fit to the data, and data corresponding to the last Figure 2: Effect of sharing of knowledge column (constant, maximal choice) of Table1 . This fig ure indicates that sharing may have a significant role to play in the final understanding of coordination in decen tralized systems where the agents are homogeneous and coordination calls for complementary decisions, as here.... ..."

### Table 1 Components of the Rotation Matrix Obtained From the Estimated Rotation Ignoring the Infinitesimal Angle Approximation (see Eq. [6])

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"... In PAGE 4: ... [5] are esti- mated. The homogeneous coordinate transformation cor- responding to the i-th iteration is then represented in matrix form: Mi 5 1 r11i r12i r13i txi r21i r22i r23i tyi r31i r32i r33i tzi 00012 [7] where the column on the right is the estimated translation, and the upper-left 3 3 3 submatrix is a rotation matrix that corresponds to the estimated rotation, (vxi, vyi, vzi), as shown in Table1 . The global transformation is computed by multiplying together the homogeneous coordinate transformation matrices corresponding to each iteration: M 5 Pi Mi [8] where the subscript i indexes over all the iterations.... ..."

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### Table 2: Closed-loop accuracy test

"... In PAGE 10: ...2 Closed-loop accuracy test Since the repeatability test gave good results, the closed loop accuracy test was performed on a single set of combined registration data. Table2 gives the values of Techo_frontal, Techo_axial, Tfrontal_axial thus obtained and compares Tfrontal_axial *Techo_frontal to Techo_axial. The homogeneous coordinates notation is used.... ..."

### Table 3.5: Indonesia production function, average productivity of irrigated land, 1971-98 Model C Model D

"... In PAGE 30: ... The public goods grew constantly. The strong trend in the variables is reflected in the correlation between the variables as can be seen in the correlation matrix in Table3 -A. Because of this correlation, the number of linear combination of the variables (principal components) needed to exhaust the information embedded in the regressors is rather sma ll.... In PAGE 31: ... There are two possible explanations for this relatively weak effect of the price variables: First, the price does not matter at all. This is not supported by the data because, as shown in Table3 A, the correlation between output and the wholesale price measure is 0.73.... In PAGE 31: ...73. Second, Table3 A shows that the inputs are also correlated with the price. It is therefore likely that much of the contribution of prices is channeled through the inputs, and it is the net direct effect of the price that is weak.... In PAGE 31: ... The reduction in the land elasticities is compensated by the increase in the labor elasticity. The correlation coefficient of labor with irrigated land and with capital is high ( Table3 A), and this may cause the variability in the estimates. Another striking difference from the results for the other two countries is the low capital elasticity.... In PAGE 66: ...84 1.00 Table3 -A: Correlation matrix for Indonesia variables, 1971-98 Output Irrigated land Rain-fed land Fertilizer Capital Labor Wholesale price ratio Price spread No education Roads Infant mortality Output 1.000 Irrigated land 0.... ..."

### Table 3: Equivalents Under the Tanh Transformation

"... In PAGE 13: ... (Hunter[17] solved these problems only in the asymptotic limit jXj!1.) Table3 collects the various identities which are helpful in transforming to the new coordinate z and then back again. Unfortunately, it was not possible to flnd complete explicit inner solutions at third and higher order.... ..."

### TABLE IV TESTING FOR HOMOGENEITY

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