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The statistic R p has therefore independently of the actual value of the angle of rotation α the same p-generalized Fisher distribution as the likelihood ratio statistic in Section 3. Thus, in this case, rotational dependence is without influence onto the null distribution of the likelihood ratio statistic for proving (H_{0}: sigma _{1}^{2}=sigma _{2}^{2}), or not.
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Thus, in both cases, rotational motions about the helix axes provide a potential mechanism for interconversion of States 1 and 2. To increase the resolution of our description of the two TM dimer states and their dynamic properties, we selected representative structures from the CG simulations and converted them to atomistic resolution (see Methods).
This is a case for separate examination, by further dissection, of the forces needed to cause rotational acceleration.
However, the points of orbits that are at the boundary of the orbit space M/G need not be at the boundary of M. For example, in the case of rotational symmetry, as in Figure 4, every point of the axis of rotation is on the boundary of some symmetry cell, but not on the boundary of M. Figure 4 Boundary of an orbit space.
In the case of rotational noise, generalized "blade loading" data can be used with limited success.
For each case, the rotational frequency was kept at 3 kHz, and the channel depth was set to 100 nm.
The CDF, Φ - β X, t n, has been obtained for different response threshold levels for nonlinear system (α = 0.5) and the case without rotational component and two cases with considering this component with Sdim = 1 and Sdim = 4 for shear wave velocity 200 m/s; and the results are shown versus threshold values X in Fig. 12a.
This was also the case with rotational stiffness.
In this case, the rotational diffusion coefficient of the 6 μm diameter starch particles is expected to be relatively slow.
In 18 cases, a hinged prosthesis was implanted and in 11 cases a rotational prosthesis was implanted (LINK Endo-Model).
Some of the most extreme and interesting cases of rotational effects are found in close binary systems.
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