m] is the column vector
, of order m, with its mth entry equal to 1 and every other entry equal to 0; since [parallel][u.
are the column vector
and the row vector, respectively.
C]: column vector
of modal coordinates of the constraint modes.
Given a column vector
f consisting of m values of a function f defined on m sine points of [GAMMA], we obtain a column vector
g = A f whose entries approximate the Hilbert transform on the same set of m sine points.
where Q(k) is column vector
form of passenger flow Q(k) and, accordingly, Q(k - 1) is the column vector
of Q(k - 1); W(k) is Gauss white noise vector with mean value 0 and covariance matrix D[[delta].
Consider the set A' of all d x (d +1) matrices such that each column vector
belongs to M and 0 is a convex combination of columns.
The complex received signal column vector
r [member of] [C.
is the kth column vector
of the normalized train matrix [bar.
Due to the associativity property of the matrix multiplication and interpreting o as the row vector and [XI] as the column vector
, one may rewrite this result as
Here y is a column vector
, and the prime symbol denotes the transpose.
a column vector
whose components are the coefficients [a.
Multiplying (using Mmult) the right side of equation by the inverse of matrix (C) forms a column vector
showing the numberic solutions as presented.