Exact(7)
If the resulting matrix is T, then S T is said to have PARS distribution with central rotation S, preferred axis of rotation V, and concentration parameters κ and τ.
The central rotation was fixed at the identity matrix and the preferred axis of rotation V was generated from the uniform distribution on the sphere for each simulation.
Another difficulty lies where axons do not go parallel to the preferred axis of re-sampling.
The axis for re-sampling (the preferred axis) was chosen so that the majority of axons in the stack would appear in their cross-sections orthogonal to their long axes (Figure 1B).
In addition, we take into account a polarity field q ij, which gives a preferred axis in the tissue and allows for internal anisotropic processes to occur.
We restricted the analysis to the 2 best responses, the 2 directions in the preferred axis of orientation (n = 226 responses of 113 neurons).
Similar(53)
A first 3-D rotation data set was simulated from the nonsymmetric Preferred Axis-Random Spin (PARS) distribution (Bingham et al. 2012) with rotations r and p from the von Mises distribution.
Recognizing the limitations of existing distributions for 3-D rotations, Bingham et al. (2009) developed the Uniform Axis-Random Spin (UARS) class of distributions, Bingham et al. (2012) developed the Preferred Axis-Random Spin (PARS) class of distributions, and Oualkacha and Rivest (2009) developed a new model for symmetric axial directional data.
The XRD pattern shows that all deposited AZO films have a highly preferred c-axis orientation along (0002) direction.
X-ray diffraction and field-emission scanning electron microscope results reveal that the thin film with highly preferred c-axis orientation is composed of homogeneous nano-sized grains.
Moreover, the intensity of peak (002) is rather higher than peaks (100) and (101); this shows that the crystalline is along the (002) axis preferred orientation.
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