Sentence examples for displacement matrices from inspiring English sources

The displacement matrices served as the basis for calculating female ranks according to the I&SI method (Matman 1.1 [de Vries, 1998; de Vries et al., 1993]).

Here, n' is a random integer perturbation, ⊙ is the Hadamard (element-wise) product, and the l th column of the displacement matrix D k is given by el+d(l), with the canonical column unit vector [ e l ] n = 1, l = n, 0, else, and a random integer jitter d(l) whose probability mass is concentrated about zero.

And then by taking into account the nodal spectral forces, we are able to obtain the dynamic stiffness in a matrix form as: F a F b = F r A 1 r B 1 r A 2 r B 2 r = F r T r - 1 q 1 r 0 0 q 2 r ⇒ K dyn = F r T r - 1 (18)where F r and T r as the spectral force and displacement matrix for the rod spectral element, respectively are given in "Appendix".

Spectral displacement matrix for the rod spectral element: T r = 1 e - i k r L 1 0 0 - e - i k r L 1 ( 1 - θ L i k r ) - 1 - θ L i k r e - i k r L 1 e - i k r L 2 - i k r e - i k r L 1 i k r i k r e - i k r L 1 - i k r e - i k r L 2 0 0 e - i k r ( L 1 + L 2 ) 1 (33).

Stewart (1976 ▶) demonstrated that and from single-crystal X-ray and neutron diffraction differ, and that will be in between the arithmetic and geometric mean of the diagonal elements of the mean-square displacement matrix.

The general FE formulations [ 18] are used to obtain the stiffness matrix, K, such as (4) K = ∑ e ∫ V e B T · D · B d V, where e is the number of elements, V e is a typical volume element, B is the strain-displacement matrix, and D is the matrix of differential operators that convert displacement to strain.

For example, the influencing factor matrix and the displacement ratio matrix, i.e. [A]k and [E]k, are, respectively, used to indicate possible modifications in the main factors and displacement measurements for all slope zones in the kth period.

Various illumination angle combinations among the three channels yield different displacement sensitivity matrices.

Given that the displacement interaction matrices had the least number of unknown dyads, there were considered most reliable to establish rank orders.

1. Read position of the pixel, displacements and, matrices of  .

Algorithm 5: Potential funtion.