Sentence examples for applied to the matrices from inspiring English sources

We prove that properties (i), (ii) are equivalent to a set of inequalities written for the matrix measure (associated with the p-norm) applied to the matrices of the open-loop system (property (i)), and, respectively, to the matrices of the closed-loop system (property (ii)).

Algorithms A and B were both applied to the matrices created by different pedigree extractions of the three size scenarios.

NPT is applied to the matrix with to get the NPT-transformed image A w.

The derivatization process is applied to the matrix and the molecular parameters are obtained by r.t.s.e.c.e.c

The latter can be computed via a structured projection applied to the matrix-based subspace estimate which enforces the multi-dimensional structure in a computationally efficient fashion.

After calculating the AM-FM histograms, principal components analysis (PCA) was applied to the matrix containing histograms of the 120 ROIs (30 for each retinal structure) for three different AM-FM features: IA, IF magnitude (|IF|), and IF angle.

Spectral sparseness (SSP) is defined following [22] but is applied to the matrix W H. SSP assigns a high cost to nonzero bases assuming that the harmonic sounds can be represented as a set of overtones in the frequency.

Column permutations are then applied to the matrix in Figure 1b, generating the configuration presented in Figure 1c, which uncovers a visual data pattern whose identification was previously much harder to perceive.

Two-dimensional clustering algorithms were applied to the matrix.

Neighbor-joining is applied to the matrix to estimate the species tree topology using PHYBASE.

Then the progressive multi-alignment is applied to the matrix of pairwise alignment scores.