Component without 0-component (double

vector product):

Matrix

vector products are enhanced to O([N.sub.b][M.sub.b] log [N.sub.b][M.sub.b]) by performing a series of 1D discrete convolutions through the use of digital signal processing [5], with the x source and x observation coupling producing,

In Equation (6), the matrix

vector product [Z.sub.EE] [I.sup.(k).sub.E] for interactions inside [[OMEGA].sub.E] is accelerated by the conventional MLFMA, in which the direct interaction between two far-field elements is separated into three steps containing aggregation, translation and disaggregation.

The spreading code of the code spur will be the

vector product (assuming bipolar notation) of all the spreading codes in each permutation, and the code spur will have the same spreading factor as the codes used in each permutation.

*

Vector Product Format Statistical (VPFStat) Software

We notice that each matrix

vector product f(A)[u.sub.i], i = 1,2,...,m, can be approximately found by the one-term, two-term, and three-term vector estimates [[phi].sub.z] in (2.6), [[phi].sub.n,k] in (2.11), and [[phi].sub.n,k,l] in (2.19), respectively.

Because of the linearity of the

vector product, the vector IP

Fix a

vector product [pi] on V, and define I([delta],[epsilon]) = (V,[[xi].sub.[delta]],[epsilon][pi]) for ([delta],[epsilon]) [member of] P.

In [6], authors defined a

vector product and by this way, they presented a method to calculate Frenet apparatus of space-like curves with non-null frame vectors and time-like curves in Minkowski space-time.

It is highly productive to start from the idea of the outer

vector product known from mathematics: two vectors of identical size start in a coordinate origin and open up a plane.

The neutron spin ([s.sub.n]) is aligned to the direction of a

vector product of the nuclear spin (I) and the neutron momentum ([k.sub.n]) for the measurement of a T-odd correlation term, which is represented as [s.sub.n] * ([k.sub.n] X I), during propagation through a polarized nuclear target.

It is extremely productive to give the resultant vector (EV) from the outer

vector product (Part I of this article series) a physical significance.