### Table 3 Results of analyses defined by orthogonal matrix.

2002

"... In PAGE 10: ... Table 2 L9 standard orthogonal matrix. L9 Factors Analysis number I II III IV 1 1 1 1 1 2 1 2 2 2 3 1 3 3 3 4 2 1 2 3 5 2 2 3 1 6 2 3 1 2 7 3 1 3 2 8 3 2 1 3 9 3 3 2 1 The results of the nine analyses defined by Table 2 are presented in Table3 . Three columns of results are shown: TPS thickness, TPS mass, and the time when the maximum structural temperature occurred.... In PAGE 10: ...There is one surprising result in Table3 . Vehicle touchdown occurs at about 2600s as shown in Figure 3.... ..."

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### Table 2 L9 standard orthogonal matrix.

2002

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### Table 1: Table of the medians of the maximum amplitude in a real N N random orthogonal matrix, out of 100 generations.

### Table 2. Single-objective test functions to be minimized, where y = Ox and O is an orthogonal matrix, implementing an angle-preserving linear transformation

2005

"... In PAGE 7: ... 2.2 Simulation of the (1+ )-CMA-ES Test functions To validate essential properties of the search algorithm we use the single- objective test problems summarized in Table2 . The linear function flinear tests the ability and the speed to increase the step size .... In PAGE 7: ... Methods We conducted 51 runs for each function and each dimension. The initial candidate solution x is chosen uniformly randomly in the initial region from Table2 , and the initial = 3 is half of the width of the initial interval. Excepting flinear, the simulation is stopped when function value di erences do not exceed 10 12 or when the function value becomes smaller than the target function value 10 9.... ..."

### Table 1: Representation of A Matrix Containing the Orthogonal Coefficients

### Table 4.5: Orthogonality for eigenvectors of the Frank matrix (n = 3000, nbi = 6)

### Table 2: Changes in error in rotation in percent for the data given in Table 1 with respect to the error after the linear algorithm and orthogonalization of the rotation matrix.

2001

"... In PAGE 8: ... The 3-D error de- notes the root mean square error (and its change) per world point. In Table2 the change in error in rotation is given in percent. To summarize the results we obtained: It is not possible to tell in general which of the two parametrizations to prefer for bundle-adjustment.... In PAGE 8: ...low 1% to about 5% (see Table2 ). With both repre- sentations change in error is relatively high, in many cases more than 50% with respect to the error af- ter the linear algorithm and orthogonalization.... ..."

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### Table 2: Changes in error in rotation in percent for the data given in Table 1 with respect to the error after the linear algorithm and orthogonalization of the rotation matrix.

2001

"... In PAGE 8: ... The 3-D error de- notes the root mean square error (and its change) per world point. In Table2 the change in error in rotation is given in percent. To summarize the results we obtained: It is not possible to tell in general which of the two parametrizations to prefer for bundle-adjustment.... In PAGE 8: ...low 1% to about 5% (see Table2 ). With both repre- sentations change in error is relatively high, in many cases more than 50% with respect to the error af- ter the linear algorithm and orthogonalization.... ..."

Cited by 7

### Table 2: Changes in error in rotation in percent for the data given in Table 1 with respect to the error after the linear algorithm and orthogonalization of the rotation matrix.

2001

"... In PAGE 7: ... The 3-D error de- notes the root mean square error (and its change) per world point. In Table2 the change in error in rotation is given in percent. To summarize the results we obtained: It is not possible to tell in general which of the two parametrizations to prefer for bundle-adjustment.... In PAGE 7: ...low 1% to about 5% (see Table2 ). With both repre- sentations change in error is relatively high, in many cases more than 50% with respect to the error af- ter the linear algorithm and orthogonalization.... ..."

Cited by 7