Sentence examples for by using the completing from inspiring English sources

By using the completing squares method and stochastic analysis techniques, sufficient conditions are derived for the existence of the desired output-feedback H2∕H∞ consensus controller in terms of the solution to two coupled backward recursive Riccati difference equations (RDEs).

By using the completing squares method and stochastic analysis techniques, necessary and sufficient conditions are derived for the H∞ consensus to be ensured, and then the time-varying controller parameters are designed by solving coupled backward recursive Riccati difference equations (RDEs).

By using the complete orthogonal system obtained from the EoM, the generalized Fourier transformation (GFT) can be defined by f ̂ = ∫ dξ f , Open image in new window (4).

Relative to stratified sampling using the same auxiliary data, model-assisted estimators can potentially make better use of each variable by using the complete range of values rather than dividing the variable into classes.

The proposed method is compared with the time-dependent NMF method [5] by using the complete recordings of BWV 1005 No. 3 played by Kuijken [23] and 24 Caprices op. 1 no.

We obtain the rate of approximation of the bivariate operators by using the complete and partial moduli of continuity and the degree of approximation with the aid of a Lipschitz-type space and the Peetre K-functional.

We obtain moments and central moments of these operators, give the rate of convergence by using the complete modulus of continuity for the bivariate case and estimate a convergence theorem for the Lipschitz continuous functions.

The concern of this paper is to obtain Voronoskaja-type asymptotic result by calculating an estimate of fourth order central moment for these operators and discuss the rate of convergence for the bivariate case by using the complete and partial moduli of continuity and the degree of approximation by means of a Lipschitz-type function and the Peetre K-functional.

This result was then confirmed by using the complete TbDHN1 mRNA sequence.

In the first step, for a fixed σ, the SVM classifier is trained by using the complete set of features (protein descriptors) described in the previous section.

In contrast, our algorithm enriches the significant regions during the optimization over node and edge scores by using the complete network.