So far, through sampling we have achieved a 6-D random state (a 3-D position and a 3-D direction vector) for a 5-DoF BiPCR and a 7-D random state (a 3-D position and a 4-D unit quaternion) for a 6-DoF BiPCR, respectively.
where ( {overset{gamma}}^{alpha } ) is the shear strain rate on the slip system α, n α is the slip-plane normal and m α is the slip direction vector for a generic slip system α.
SNP effects, in the general model denoted as SNP ijkl, were estimated in models 3 and 4 as q ijkl × v jk, according to Meuwissen and Goddard [ 11], where q ijkl is the size of the effect of allele l at locus k and v jk is a scaling factor in the direction vector for locus k that scales the effect at locus k for trait j.
Shi and Xia [9, 10] propose an interactive algorithm based on the concepts of satisfactoriness and direction vector for the nonlinear bilevel multiobjective problem.
Place the index finger on the cylinder's surface center and along the x direction of (Sigma _{mathrm {c}}) without moving it and track its tip position and direction vector for some seconds (positive x direction for right hand and negative x direction for left hand).
When the subarrays are steered to look at direction u L, the weight vectors for the two subarrays are w1L=v1L/M and w2L=v2L/N, respectively, where v1L and v2L are the M and N element direction vectors for the two subarrays.
The algorithm is initialized by a point represented by the column vector,, a unit-norm direction vector,, and a boundary definition for the parameter space.
Joint statistics of the radius vector magnitude and the corresponding direction vector constitute the basis for the present approach.
where is the displacement vector between the mean direction vector and a vector pointing in a scatterer's direction.
For any direction vector v ∈ S2, there always exists a u ∈ S1 satisfying v ∈ u⊥.
The gradient direction vectors corrected for image orientation are stored in the Siemens dicom files and extracted by the dicom2nii program (www.sph.sc.edu/comd/rorden/dicom.html).html
