Sentence examples for center matrix from inspiring English sources

➢ Interrelationship matrix (center matrix): gives the expert's perceptions of interrelationships between design requirements and customer needs.

The propagation of matrix cracks was modeled by calculating the stress concentration factor at the matrix crack tip in a fiber bridged center matrix crack.

After the processing of fuzzy clustering, we get center matrix, fuzzy partition matrix and the values of the objective function during iterations.

After giving the dataset with the required number of clusters (c) to FCM as input, it generates U (membership matrix) and V (cluster center matrix).

The individual rating for each design requirement is obtained from the center matrix using the following relation: Design requirement = ∑ j n A ij ⋅ X j, Open image in new window.

To carry out the optimization procedure, the GA parameters population size (pop), crossover rate ((p_mathrm{c})), mutation rate ((p_mathrm{m})), genome length (l), and cluster center matrix (V) are initially set.

Then, given a pre-specified kernel function k, these inner products can be obtained by solving a dual problem:, where is the centered kernel matrix and J is a method-specific n× n matrix.

Let k and l be defined via (4) (5) where ψ y i ) is defined via: (6) Then (7) The theorem is shown by the following derivation: (8) (9) (10 1112) (13) (13) The transition from (8) to (9) follows from the fact that l gives rise to a centered kernel matrix (L= HLH) and equation (3).

The main difference is that the Laplacian matrices and are replaced by the centered kernel matrices G and G cj.

Let us also denote a set of centered kernel matrices as G cj, j ∈ {1,…, s} with N samples.

The centered kernel matrices are defined by Equation (1): (1) K c = [ I − e e T n ] K [ I − e e T n ] where I is the identity matrix and e is the vector with all ones.