j]/[partial derivative]x is a (l,n)

row vector and f (n,l) column vector.

t]b, where [pi] is a

row vector of a priori probabilities (in the simplest case [pi] is a

row vector of the type (1,0, .

Indiana) investigate the singularities of a rational projective curve by studying a Hilbert-Burch matrix for the

row vector [g1,.

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

h)] is a

row vector, the distribution function [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] could be obtained by statistical analysis of [[rho].

In example Table 2, this calculation is illustrated by dividing the

row vector sum (54) by 2, producing 27.

N]) is a

row vector of weight coefficients and [[PHI].

Using the L classifiers obtained above, we get a

row vector formed by the outputs of these classifiers: F([bar]x]) = ([f.

p, be the p-dimensional

row vector whose j-th component is equal to 1 and the others are zeros, [bar.

Therefore, a m x n matrix can be transformed into a row ladder matrix by row elementary transformation, and the a mount of nonzero

row vector of this ladder matrix is the rank of the matrix.

For the operation count, we assume that the multiplication of a

row vector with any of the matrices Pk has a flop count bounded by [[kappa].

Since det(A) [not equal to] 0, the possible ways of choosing of

row vector are the following: