Sentence examples for matrix that appears from inspiring English sources

The histology appeared normal with osteoblasts and vasculature surrounded by the bone matrix that appears well formed.

We propose a simplification to the potential energy PDEs through a particular parametrization of the closed-loop inertia matrix that appears as a coupling term with the inverse of the original inertia matrix.

The projection matrix associated with rate matrix M can be written boldsymbol{Pi} =mathbf{U} boldsymbol{Lambda} {mathbf{U}}^{-1} (32). in terms of the same U matrix that appears in Eq. (29).

It should also be noted that we never construct and store the whole of the so-called design matrix that appears in those equations.

It is compared with the rest of the matrices using ALLR statistics, and any matrix that appears redundant to the chosen matrix is removed.

In order to calculate the eigenvalues of the matrix that appears at the quadratic form of the metric, the definition of the characteristic polynomial is used: det I - σ w 2 Λ 1 / 2 U H Σ y - 1 C - 1 Σ y - 1 U Λ 1 / 2 - χ I = det σ w 2 Λ 1 / 2 U H Σ y - 1 C - 1 Σ y - 1 U Λ 1 / 2 + χ - 1 I = det Λ det σ w 2 Σ y - 1 C - 1 Σ y - 1 + χ - 1 C - 1 = 0 (47).

It is shown that our proposed variable filters are described in a rather simple form without the need of the inverse matrix that appeared in the conventional Gramian-preserving frequency transformation.

Mineralization could be viewed as regions within the cartilage matrix that appeared much brighter than the surrounding cartilage tissue.

Whereas early electron microscopic techniques enabled imaging of organisms in a biofilm, the desiccation required by high-vacuum conditions has long obscured the role of the EPS matrix that appeared as a dark rim of condensed matter on the bacterial cell surfaces in a biofilm (Stewart and Costerton 2001).

The values 2t i − v i are always greater than or equal to v i (since v i ≤ t i ), and the McCoy rank of the matrices that appears in Equation 25 is v i, which is exactly the number of unknowns.

For a single value of the Rayleigh number R the size of the matrices that appear after the discretizations are 2016 in Legendre collocation, whereas in the case of the reduced basis with 8 elements the size of matrices are 16 because pressure disappears in this formulation.