Sentence examples for by using a singular from inspiring English sources

By using a singular Gronwall inequality and the properties of fractional calculus, the existence of global solution under the framework of Filippov for FNNDAs is proved.

By using a singular value decomposition, a linear precoder can be considered as a combination of an input shaper and a multimode beamformer with per-beam power allocation [3] F d = A Σ B ∗, (9).

DAVID identified orphan Xl-PSIDs (without gene annotations) and accounted for duplicate Xl-PSIDs per transcript by using a singular DAVID ID for each transcript.

The SVD-MDS method performs the dimensional reduction procedure by using a molecular dynamics approach and by initialing the metric space using a singular value decomposition method, resulting in better representation of the similarities and differences in term of information conservation.

By using an approximate singular value decomposition procedure, we obtain a fast and robust algorithm.

Lastly, nonlinear relationships between the ratios of maximum permanent deflection to target thickness and dimensionless numbers are established by using a novel mathematical approach, namely, singular value decomposition method.

From (15), we can see that {Y 1,Y 2,…,Y M }⊂RowSpace(C), where Y i denotes the i th row of Y. Now, let us obtain a rank-K approximation of Y by using a truncated SVD (truncated at the singular value σ K ): Y ≈ U M × K Σ K × K V K × T ⊤ (16).

Here the investigation is continued in the transonic range by using a dislocation formulation that leads to singular integral equations.

Comparing with the corresponding existence results in Olaru [3, 4] and Brestovanská and Medveď [5], we discuss a quadratic integral equation with a class of special singular kernels by using a different method, a fixed point theorem due to Darbo acting in a Banach algebra via the technique of the measure of noncompactness.

Each orthologous gene alignment was concatenated into a "super-gene" (Gadagkar et al. 2005), that is, we took individual.fasta files and joined them into one singular, interleaved.nexus file by using a customized Ruby script.

Exact solutions and the asymptotic solutions in the time domain and in three different limits are obtained by using an integral transform technique and a singular perturbation technique, respectively.