### TABLE B8.- TWO-DEGREE-OF-FREEDOM DIRECTIONAL GYRO

1991

### Table A1 Identified model parameters for three-degree-of-freedom helicopter nonlinear model

2006

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### Table 1.2; for SPEClnt95 benchmarks and var- ious N; d is the number of degrees-of-freedom

"... In PAGE 3: ...5. The values of 2; for each benchmark for all tested N from the SPECInt95 benchmarks are listed in Table1 along with d, the number of degrees of freedom used in the reduced x2 computation. In most cases, a value of 2: much greater than 1 indicates that the expected distribution (in this case, uniform) is unlikely.... In PAGE 4: ... Experiments on these benchmarks use multiple-sample simulation; thus we were forced to perform the x2 test for each fast-forward pe- riod individually. The results were similar to those presented in Table1 : suitably close to uniform for the MSE techniques to be applicable. This conclusion is also supported by the successful application of the MSE techniques to the multiple- sample simulations (see Section 5).... ..."

### Table 1. DI AVBE BC for SPECInt95 benchmarks and various C6; CS is the number of degrees-of- freedom

2001

"... In PAGE 4: ... Experiments on these benchmarks use multiple-sample simulation; thus we were forced to perform the AVBE test for each fast-forward period individually. The results were sim- ilar to those presented in Table1 : suitably close to uniform for the MSE techniques to be applicable. This conclusion is also supported by the successful application of the MSE techniques to the multiple-sample simulations (see Section... ..."

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### Table 5: For each of the nested tests shown in Figure 2, the likelihood ratio test statistic LRij, the degrees-of-freedom in parenthesis and the level of significance are given.

"... In PAGE 16: ...51 Table 3: QML estimates for the two-factor model: Consider drt = 1( t ? rt)dt + pv0dW1 t and d t = 2( ? t)dt + p tdW2 t , where rt is the spot rate, t is the central tendency, (W1 t ; W2 t )T is a two-dimensional Wiener process with uncorrelated elements, and 1, 2, and are constant parameters. Referring to Table5 , the test statistic LR21 = 6734:2 (with 3 degrees-of-freedom), that the Vasicek model is rejected compared to the two-factor models. This result was to be expected as the yields in a one-factor model is perfectly correlated and this property is, in general, not supported empirically.... ..."

### Table 1: Formulae for the number of non-zeros in the 1-D mass and sti ness matrices where Ndof is the number of degrees-of-freedom, Ndof = 2k+1 ? 1, and k indicates the scale.

"... In PAGE 23: ...1-D Comparison The non-zero ll pattern for the mass and sti ness matrices are shown in Figure 8 for both the hierarchical Schauder and the linear nite element bases. The formulae for the number of non-zeros associated with the mass and sti ness operators for both the hierarchical Schauder and nite element bases are shown in Table1 . Because the hierarchical Schauder basis diagonalizes the sti ness, only Ndof (number of DOF) words of storage are required for the diagonal, although in practice a coarse-grid nite element matrix is required for the multi-scale element.... ..."

### Table 1: Parameter designation of the model Referring to the mathematical model presented in Fig. 2, the designations of Tab. 1. will apply. Equations of motion for the fourteen-degrees-of-freedom model are derived and explained in detail in Reference [15]. These equations could be written in the matrix form as:

### Table 3: Simulation Results for the CMU DD Arm I1

"... In PAGE 15: ... In summary, for the three degree-of-freedom positioning system of the CMU DD Arm 11, we can identify seventeen of the twenty-seven unknown dynamic parameters. The results of our simulation experiments for the CMU DD Arm ll are summarized in Table3 . We used the 25 data sets to identify successfully the dynamic parameters which ... ..."

### Table 5: Estimates of Structural Cointegrating Vectors

"... In PAGE 16: ... The exception is a borderline rejection when the trace statistic is used without the degrees-of-freedom correction. Table5 displays our estimates of the cointegrating vectors for the 3-trend and 2-trend specifications. Recall that, according to the theoretical model of section 2, in both vectors the coefficients on output and government size should be -1 and 1, respectively.... ..."

### Table 3. Rigid subparts and defining markers. Subpart Marker I Marker II Marker III

2005

"... In PAGE 20: ... The grouping of specific markers in each segment allows the computation of internal joint rotations. Our human body model has 21 rigid subparts forming a hierarchical structure (see Table3 ). The skeleton model has 60 degrees-of-freedom (30 joints) and six parameters (position and orientation) in 3D space.... ..."

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