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
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: