Sentence examples for matrix is closely from inspiring English sources

The flow mechanism of natural gas in the shale matrix is closely related to the high efficient development of shale gas reservoirs.

Since the spectral distribution of the preconditioned matrix is closely related to the convergence rate of Krylov subspace iteration methods [8], we hope that the resulting preconditioned saddle-point matrices have desired eigenvalue distributions, that is, tightly clustered spectra or positive real spectra, and so on; see, for example, [7, 16 19].

Estimates obtained from the quasi-likelihood function are efficient when the true correlation matrix is closely approximated '[see Additional file 1]'.

Lastly, due to the nonsingularity of the matrix being closely related to the lower bound for the rank of the matrix, using the results in Section 2, we can get some new sufficient conditions for nonsingular matrices, such as the theorems and corollaries in Section 3.

Scoring matrices are closely related to substitution matrices: A set of scoring matrices can be derived given a substitution model.

(1) The matrix (Lambda^{q}) is closely related to the matrix exponent (F^{q} alpha)=F alpha -qmathbb{I}), where (mathbb{I}) is the identity matrix.

The accuracy of local particle mean velocity measurement with spatial filtering method based on an electrostatic sensor matrix (ESM) is closely related to its sensitivity and spatial filtering characteristics.

These modes depend on the internal cohesive force of the food matrix which is closely related to the food texture and microstructure.

The diffusivity of mucin matrices, which is closely related to mucin viscosity [22], [36], can be calculated from polymer swelling kinetics.

In lignocellulosic matrices, xylan is closely associated with the cellulose fibrils, as well as lignin, and does to some extent cover the fiber surfaces, thereby limiting the access of cellulases to the cellulose surface [ 5].

Increased production of matrix metalloproteinases (MMPs) is closely related to the progression of osteoarthritis (OA).