R is the end-to-end vector of the macromolecule and p is the

orientation vector of the nanofiber [24].

where [m.sub.p], [u.sub.p], and [OMEGA] are the particle mass, velocity, and angular velocity, respectively; I is the particle moment of inertia; f (s) is the force distribution along the particle axis; s is the distance from any point to the particle center; l is the half length of the particle; and p is the

orientation vector of the particle.

The top [n.sub.i] element of the fiber

orientation vector is used to create the structure for simulation, and the remaining elements are discarded.

Object

orientation vector [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is estimated by using (2)

Inclusions are divided into different families characterized by different

orientation vector similarly as during the preparation of the RVE geometry.

Figure 5 has following designations: [theta]--the angle between the

orientation vector V is relative to the ox axis in the positive direction, the angle [phi]--the angle of the steering wheel is relative to the axis of the connection of the front wheels and the rear, the point P--point owned housing platform moving on a trajectory highlighted in blue.

where w is the decision plane

orientation vector, b is the bias, [[xi].sub.i] represents the margin slack variable, [phi] is the mapping function and C is the penalty parameter of the error term.

This establishes the toot axis

orientation vector for each pose.

An

orientation vector of length n is an n-tuple [alpha] = ([alpha].sub.1]; [alpha].sub.2], ..., [alpha].sub.n]) in [{0,1}.sup.n].

The sum effect of conditions in each layer is then calculated for each element, thereby determining an

orientation vector. The analysis uses the calculated temperature profile, thus its accuracy extends into both the packing and cooling phases of the processing cycle.

The surface orientation distributions are shown by vector plots, constructed in a similar way as the bulk

orientation vector plots presented in Fig.

R = [[x.sub.0], [y.sub.0],[z.sub.0],[theta],[psi],[phi]]T position and

orientation vector in earth-fixed frame.