Sentence examples for using the standard matrix from inspiring English sources

By using the standard matrix notation, we write: r = P 1 (2) c = P ' 1 (3)  .

The complete set of the equations, i.e., 125 equations, are solved using the standard matrix analogy.

For given ω and k || in the surface Brillouin zone, the matrix in equation (12) is fully specified and thus can be solved using the standard matrix inversion techniques.

ii) Use the standard matrix-form representation (see Section 2.2) to represent all second-order kernels that compose the kernel of interest.

Model 0 (M0) used both components and is equivalent to the model using the standard G-matrix.

Stiffness matrix methods are based on using the standard elastic and geometric stiffness matrices that were adapted from structural analysis.

The existing well-known methods can be categorized in the following main families: Stiffness matrix methods are based on using the standard elastic and geometric stiffness matrices that were adapted from structural analysis.

Using the standard MIMO SVD of channel matrices, the interference channel and side channel can be converted to m I= min{N dl,M ul} parallel paths from uplink node Tx U to downlink node Rx D. In Fig. 6, the diagonalized interference and side-channel paths are depicted in bold.

Figure 18 The application of a weighting matrix adjusted using the standard deviation of the measured data contributes to a lower stress value (as expressed in (2)) in the algorithm.

The multiaxial phase transformation of the SMA fibers is predicted using the phenomenological constitutive equations which can describe the two-step deformation due to the rhombohedral and martensitic transformations, and the inelastic behavior of the matrix material using the standard nonlinear viscoplastic model.

The remaining sequences were classified as ERE- and were scanned for other TF binding sites motifs contained in the Genomatix Matrix Library using the standard parameters, as described previously [ 26].