Sentence examples for be obtained using singular from inspiring English sources

The overlapping space can be obtained using singular value decomposition.

First, POMs of acceleration dynamic response of a shear-type building under Gauss White Noise GWNN) ground motion are obtained using singular value decomposition; then, the dominant POMs of acceleration response are used to identify the damage locations and severities through particle swarm optimization (PSO) algorithm.

Eigenvalues and a complete orthonormal set of eigenvectors representing shape variation were obtained using singular value decomposition (SVD) of the pooled covariance in the population studied.

The theoretical control properties of those schemes were obtained using the singular value decomposition technique in all frequency domain.

It is confirmed that faster convergence is obtained using the singular eigen-expansions in approximating stationary Navier-Stokes solutions in general domains.

After the discretization of the source distributions, the subsequent solution of a set or sets of linear algebraic equations for the internal source distributions is obtained using the singular value decomposition method.

Finally, the integral representation of the solution to a boundary value problem for the inhomogeneous partial differential system is obtained using the above singular integral operator.

The equation of motion of acceleration waves is obtained using the theory of singular surfaces.

Then, the two sums of truncated singular values are obtained using (5) and (6).

Thompson [5] investigated an essentially singular solution by expressing Feigenbaum's equation as a singular Schroder functional equation whose solution was obtained using a scaling ansatz, and so on.

Specificities and sensitivities similar to those of the singleplex assays were obtained using the optimized duplex qPCR conditions, allowing the identification of both singular and coinfections in diseased whiteleg shrimp.