Sentence examples for matrices that appear from inspiring English sources

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.

For a single value of the Rayleigh number R the size of the matrices that appear after the discretizations is 2016 in Legendre collocation with expansions of order (13 times35), whereas in the case of the reduced basis with 8 elements the size of matrices is 16.

One of the largest groups of surviving works of art are the seal matrices that appear to have entered Scottish usage with feudalism in the reign of David I, beginning at the royal court and among his Anglo-Norman vassals and then by about 1250 they began to spread to the Gaelicised areas of the country.

In SEMs, these structures are grainy matrices that appear to mediate adherence to other spores and the grid surface.

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.

ClustalX resulted in alignments for both matrices that appeared less than ideal for phylogenetic analyses.

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 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.

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).