### Table 3.1: Rotation angles of the planes

### Table 3: which axis does the rotation plane slant.

### Table 1 Rotational and translational variations associated with

1996

"... In PAGE 14: ...Nominal Circle Cylindricity Tolerance Zone Translational Variation Flatness Tolerance Zone Cylinder on a plane surface Block on a plane surface Flatness Tolerance Zone Rotational Variation Figure 5. 2-D effects of geometric feature tolerance If the translational variation caused by the geometric feature tolerance is represented by T and rotational variation by R , all the possible combinations of the geometric feature tolerances with the kinematic joint types can be summarized in Table1 . The empty cells in the table mean that the corresponding geometric feature tolerance and kinematic joint combination does not apply.... In PAGE 30: ... Table1 and Table 2 listed the most commonly occurring combinations of geometric feature variations and kinematic joint types in 2-D and 3-D assemblies. These tables are subject to change as new assembly conditions are considered or after more thorough studies are made.... ..."

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### Table 1 Summary of Weather Radars of the Hong Kong Observatory (cont)

1999

"... In PAGE 7: ... Table1 Summary of Weather Radars of the Hong Kong Observatory Decca 41 II Plessey 43S Goodwood MR790S EEC DWSR- 93S Mitsubishi RC-38 General Model 41 43S MR790S DWSR-93S RC-38 Year 1959 - 1979 1966 - 1992 1983 - 1999 1994 - 1999 - Period of service (year) 20 25 16 over 5 - Radar site Tate apos;s Cairn Tate apos;s Cairn Tate apos;s Cairn Tate apos;s Cairn Tai Mo Shan Display (resolution) CRT CRT RGB Monitor (512 x 512) High- resolution colour monitor (1280 x 1024) High- resolution colour monitor (1280 x 1024) Max range (km) 200 * 450 512 512 512 Antenna Type double- curvature, solid surface parabolic dish, solid surface parabolic dish, solid surface parabolic dish, solid surface parabolic dish, mesh surface Diameter / width (m) 4.27 3.... In PAGE 8: ...Table1 Summary of Weather Radars of the Hong Kong Observatory (cont) Decca 41 II Plessey 43S Goodwood MR790S EEC DWSR- 93S Mitsubishi RC-38 Transmitter Frequency range amp; (operating value) MHz 9320-9500 (9375) 2700-3050 (2800) 2700-2900 (2800) 2727-2925 (2920) Preset at factory (2820) Peak Power (kW) 20 665 650 500 650 Transmitter device magnetron magnetron magnetron magnetron klystron Modulation pulse pulse pulse pulse pulse PRF (Hz) 250 275 250 250 /623/934 250 - 1000 Pulse width (us) 0.35 / 2.... ..."

### Table 1 Summary of Weather Radars of the Hong Kong Observatory (cont)

1999

"... In PAGE 7: ... Table1 Summary of Weather Radars of the Hong Kong Observatory Decca 41 II Plessey 43S Goodwood MR790S EEC DWSR- 93S Mitsubishi RC-38 General Model 41 43S MR790S DWSR-93S RC-38 Year 1959 - 1979 1966 - 1992 1983 - 1999 1994 - 1999 - Period of service (year) 20 25 16 over 5 - Radar site Tate apos;s Cairn Tate apos;s Cairn Tate apos;s Cairn Tate apos;s Cairn Tai Mo Shan Display (resolution) CRT CRT RGB Monitor (512 x 512) High- resolution colour monitor (1280 x 1024) High- resolution colour monitor (1280 x 1024) Max range (km) 200 * 450 512 512 512 Antenna Type double- curvature, solid surface parabolic dish, solid surface parabolic dish, solid surface parabolic dish, solid surface parabolic dish, mesh surface Diameter / width (m) 4.27 3.... In PAGE 9: ... Table1 Summary of Weather Radars of the Hong Kong Observatory (cont) Decca 41 II Plessey 43S Goodwood MR790S EEC DWSR- 93S Mitsubishi RC-38 Radar signal processor N.A.... ..."

### Table 2 Fast plane rotation algorithms with conditions of applicability Standard Self-Scaling

"... In PAGE 7: ... There are several ways to choose a fast rotation F and the new diagonal matrix D02 so that the number of multiplications is reduced by half compared to the standard (slow) rotation. For the choice of F and D0 in the standard fast rotations, see Table2 , where Fpq denotes the 2 2 submatrix of F in the (p; q) plane and it is assume that the rotation occurs in the (p; q) plane. To bound the maximum decrease in the diagonal factor matrix D2, one must choose between the two alternative formulations of the fast rotations which update the diagonal elements of D2 with cosines or sines.... In PAGE 8: ...Anda and Park diagonal factor elements. The decision table for the self-scaling fast plane rotation is also displayed in Table2 . In the table, r denotes the value that satis es 2 4 c s ?s c 3 5 2 4 dpyp1 dqyq1 3 5 = 2 4 d0 p 0 0 d0 q 3 5 2 4 r 0 3 5 : The underlying heuristic for this self-scaling algorithm is to diminish the larger diagonal element while augmenting the lesser.... ..."

### Table 5 Intersection Angle (degrees) to a Point on the Axis of Rotation: Array Plane Parallel to Orbiter X-Axis

"... In PAGE 8: ... The array plane was assumed to be parallel with the shuttle X-axis. Table5 summarizes results of the angle assessment. Two locations of the array are considered on the... ..."

### Table 4: Image plane rotations can be expressed in terms of the angle between the pro-

"... In PAGE 36: ... Circular Statistics. Table4 summarizes an analysis of the angles between the projections of the objects apos; vertical axes and the gravitational upright, i.e.... In PAGE 36: ... Angular deviation s = q 2#281 , r#29, with r = k #16 vk, is used as a measure of dispersion of angles. For small angles such as those in Table4 , mean angle and angular deviation are very close to the arithmetic mean and standard deviation of #0B i . 13 The small numbers of trials with #0B #14 10 #0E do not justify to assume Gaussian distribution.... In PAGE 47: ... Table4 : Image plane rotations can be expressed in terms of the angle between the projection of the object apos;s vertical axis and the gravitational upright in the image. Data from Experiment 1a and 1b, analyzed in circular statistics, show that objects which are mainly encountered in upright orientation were carefully aligned by partic- ipants.... ..."

### Table 1. M 1, M 2, M 3, and the number of evaluations (averaged over 30 runs). Rd represents the rotated problem where d is the degree of rotation on each plane.

2004

"... In PAGE 7: ... The niche neighbourhood size, was set to 0. 7 Results and Discussion From Table1 it is apparent that the NSDE maintains a signi cantly better coverage (M 2 ) and spread (M 3 ) than the NSGA-II, independent of the degree of rotation on each plane. Although M 1 suggests the NSGA-II apparently has reasonable convergence towards the pareto-optimal front, if one takes into ac- count the other criteria such as coverage (M 2 ) and spread (M 3 ) of solutions, it is apparently quite poor.... ..."

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### Table 5: As the gasket is rotated in its plane by 10o the estimated pose changes by a similar amount. The plane position, given by ; and r remains fairly constant.

1992

"... In PAGE 10: ... constant. Table5 shows the good agreement between ac- tual and experimental estimation of relative motion. There are situations where the T matrix method is un- stable.... ..."

Cited by 14