Sentence examples for matrices as they from inspiring English sources

In contrast to direct methods such as Gauss-elimination or QR-factorization, linear relaxation is particularly efficient for problems with sparse matrices, as they appear in constraint-based user interface (UI) layout specifications.

However, TM samples have complex matrices as they are made from either one herb or a mixture of herbs from any part of a plant such as leaves, roots, seeds, and flowers that might have different chemical properties.

The currently used industrial techniques typically solve a simplified problem, for example, the eigenvalues and associated eigenvectors in the desired region for the undamped/uncoupled problem are used for the projection or an algebraic multilevel substructuring method (AMLS) is used that exploits the structure of the matrices as they arise form the discrete FEM [31].

Symmetric matrices as they appear in the form of the parameter error vector covariance matrix K k can be decomposed into two complementary subspaces (see [28] and Appendix 1 for details), namely {mathbf{K}}_{k}=b_{0} {mathbf{I}} +b_{1} {mathbf{R}}_{text{uu}} +ldots+b_{M-1} {mathbf{R}}_{text{uu}}^{M-1} + {mathbf{K}}_{k}^{perp} =P {mathbf{R}}_{text{uu}})+ {mathbf{K}}^{perp}_{k}. (5).

More specifically, tumor-conditioned matrices are mechanically different from control matrices as they exhibit increased stiffness.

By including more evidence the matrices as they are used in QCA can explore more of the relationships between the data.

Although the development of MatrixConverter was motivated by the large phenomic character matrices produced by CharaParser, it can be used to evaluate and transform any data sets of phenomic characters into discrete character matrices, as long as they are in a tab-delimited text or CSV file.

Hence, it is to be presumed that the nickel nanoparticles are trapped in the polymer matrix as soon as they are formed and further growth of nanoparticles is inhibited.

At this state, the matrices E1[2,2] through E5[2,2] were identity matrices, as were matrices W3[2,2] through W7[2,2].

At this state, matrices E3[2,2] and E4[2.2] were identity matrices, as were W3[2,2] and W4[2,2].

Al3Fe crystals consume the Al matrix as they grow in size and fraction.