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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).

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 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.

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 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.

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).

Three additional orthologues identified by homology, using the complete set of Drosophilid serpin transcripts as queries, are in italic typeface (H ).

To visualize differences between the genomes, we generated the nucleotide alignments of the genomes shown in figure 2 by BLASTn using the complete clade II genome (JCM 1112) as the reference and the program BRIG (Alikhan et al. 2011).

cDNA was synthesized by using the TransPlex® Complete Whole Transcriptome Amplification Kit according to the manufacturer's protocol (SIGMA).