After reading the data in terms of the axes of eigenvectors (U−1), each instance of the directionality of the data is restricted to a unit sphere (. Through this transformation, large eigenvalues (>1) are shrunk to 1 while small eigenvalues (< 1) are amplified to 1.
In terms of cartesian coordinate axes x and y, if δ is the angle between a i and a j, the two independent translations can be written as x ′ = x + p i L ( a i ), y ′ = y, Open image in new window (8).
Numerical results are obtained for the coupled frequencies and mode shapes (in terms of the location of axes of rotation of the cross-section) for different values of the load and the geometry parameters.
The basic idea of this algorithm is to quantize the image of function samples in the m-dimensional range space R m into a set of small blocks in terms of the m coordinate axes, and then seek the connectivity of the fibers between every pair of adjacent blocks along each coordinate axis, which finally allows us to compose a joint contour net as a network structure over the range space.
On the basis of the stress regime and epicenter distribution, the focal mechanisms of the Sumatra and Ryukyu subduction zones were further divided into groups in terms of P- and T-axes orientations.
At the broadest level of classification, FYPO organizes terms along three axes.
It is found that most rhombohedral Al8Mn5 particles are twinned, consisting of four orientations related by ∼90° rotations around three common <1¯102>, which is discussed in terms of the pseudo-cubic <100> axes of the Al8Mn5 rhombohedral gamma brass.
However, shear band initiation in homogeneous, fixed-axes tests does activate out-of-axes shear.
The 3DGAF approach that models RDCs in terms of diffusive motions around three orthogonal axes attached to each plane 40 has been shown to quantitatively describe protein conformational dynamics.
PCA rotates the axes of this space so that the axes are now ordered in terms of the variance in the data they explain.
A mapping framework is developed to examine the governance imprint of partnerships along two axes: their impact in terms of synergies and the governance role they adopt.
