In other words, adding the vectors associated with the words king and woman while subtracting man is equal to the vector associated with queen.
When a potential function is assumed to exist, the vector associated with the stress tensor is expressed in terms of its gradient with respect to the vector associated with the strain tensor.
By using the estimability vector associated with the maxest criterion, projective properties of nonregular designs are studied from the estimability perspective.
Light waves are transverse: that is, the vibrating electric vector associated with each wave is perpendicular to the direction of propagation.
When potential function exists, it becomes to be that the 3 × 3 constitutive matrix derived from its second order derivative with respect to the vector associated with the strain must be positive definite.
Furthermore, a new coordinate system which defines the body-fixed frame using the Jacobi vector associated with the dissociating bond and the symmetry axis of the methyl fragment is introduced.
And in particular, the pole vector associated with the pole in the upper half plane will be its shortest in the vicinity at a frequency in the vicinity of that pole and so, for that frequency, then, the frequency response will peak and we see that here.
Detailed analysis of the B-P algorithm reveals that these problems are mainly related to the magnitudes of the components of the gradient vector and the direction of the vector associated with the severely ill-conditioned nature of the Hessian matrix of the error function.
where c(h) represents the mean color vector associated with the hexagon h.
The unit vector associated with the line-of-sight (LOS) of the m-th transmitter is ( {mathbf{r}}_m^{(t)} ), whereas ( {mathbf{r}}_n^{(t)} ) is the unit vector associated with the LOS of the n-th receiver.
Note that each (u^{j}) is called the jth order root vector associated with the pair ((lambda,u)).
