Sentence examples for matrix is therefore from inspiring English sources

The connection topology matrix is therefore changed to (varvec{A}_{text{plug-out}}^{{ {text{modified}}}}), shown in (18).

Identifying the gas transport process in a shale matrix is therefore of great importance in designing development strategies and in formulating the appropriate predictive mathematical models.

The final connectivity matrix is therefore antisymmetric as shown in Figure 7(b) and the noise has no impact on learning.

A hybrid mobility matrix is therefore proposed: at high frequencies it is diagonal, consisting of measured point mobilities, and at low frequencies the entire matrix is calculated using a simple rigid mass-stiffness model.

The turbulence-based variance covariance matrix is therefore added to the routine variance covariance matrix of the Gauß Markov model, which is currently a pure diagonal matrix and includes, almost exclusively, the uncertainties from the VLBI correlation process.

Mathematically speaking, this means that the first row of the symbol matrix is given by S 1 · = [ 1 1 ⋯ 1 ] ∈ ℂ 1 × R. A final estimate of the symbol matrix is therefore obtained in the following manner: S ̂ ̂ = S ̂ D 1 ( S ̂ ) − 1, where D 1 ( S ̂ ) is the diagonal matrix formed from the first row of S ̂.

Elements of the diagonal tap-selection matrix are therefore given by (32).

The inversion of this matrix was therefore finally performed using a truncated singular value decomposition (TSVD) procedure, retaining only 750 degrees of freedom.

Metal-doped carbon gels are more resistant to sintering or leaching than impregnated catalysts, however, some metal particles are encapsulated by the organic matrix, being therefore inactive in catalysis.

Silver nanoparticles impregnated in biocompatible polymeric matrix were therefore conceived for antimicrobial wound healing material.

This data matrix was therefore composed of 413 characters and 80 taxa, and was analysed under the same search criteria described above.