Sentence examples for bivariate case of the from inspiring English sources
A bivariate case of the proposed multivariate model is presented.
The purpose of this paper is to discuss the Voronoskaja asymptotic result by calculating an estimate of the fourth order central moment for the operators (1.3) and construct the bivariate case of these operators.
To demonstrate the procedure of the proposed approach, we used a bivariate case of AISI 52100 hardened steel turning employing wiper mixed ceramic tools.
Furthermore, we show the rate of convergence of these operators (univariate case) to certain functions with the help of the illustrations using Maple algorithms and in the bivariate case, the rate of convergence of these operators is compared with the associated GBS operators by illustrative graphics.
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.
We then give a computational formulation in the univariate case when ϕ is a uniform B-spline and in the bivariate case when ϕ is the tensor product of uniform B-splines.
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.
end{aligned} Details of the modulus of continuity for the bivariate case can be found in [25].
Many of the factors which in the bivariate case have a statistically significant association to poor self-rated health are not significant in the following multivariate analysis.
Because of the intrinsic difficulty between bivariate case and higher-dimension (three or more dimensions) settings, the study of splines on higher dimensions are very limited.
