Sentence examples for by applying the singular from inspiring English sources

The design method is inspired by nested saturation control ideas and formulated by applying the singular perturbation theory.

The proof is established by using a dichotomy in the dynamics of the structure to which small components are added, and by applying the singular perturbation method.

We then study the spatial mode shapes of a baffled cylinder (as a simplified model of the concha) and accurate pinnae by applying the singular value decomposition (SVD) technique.

The projections of the samples onto the leading principal components were computed by applying the singular value decomposition to the data matrix (after preprocessing as described above and in previous works [ 69]).

We can introduce a regularization by applying the singular value decomposition to Z as Z ≈ U qD qV q T, where D q is a diagonal matrix of q singular values, and U q and V q are matrices of singular vectors associated with the q singular values.

This is achieved by first applying the singular value decomposition (SVD) on each wavelength dependent Jacobian matrix, which yields a triplet of matrices where U and V are orthonormal matrices containing the singular vectors of J λ, and S is a diagonal matrix that contains the i number of singular values of J λ, i.e., σ λ, i.

By applying the general singular value decomposition (GSVD), we show the relation between the proposed approach and the Wiener filter.

Some of these strategies are based on reduced-rank approaches obtained by defining a matrix of filter coefficients and applying the singular value decomposition to such a matrix.

Applying the singular perturbation techniques, we analyze the dynamics on the slow system.

Applying the singular perturbation techniques, we separate the dynamics of the model into two time scales.

It should be emphasized that the drawback observed here in the form of inter-channel interference (ICI) is eliminated by applying the so-called SVD (singular value decomposition) form in the signal reconstruction process [6 8], dedicated solely to the traditional analysis based on a parameter matrix calculus [9 11].