Sentence examples for bivariate cases from inspiring English sources

Then, we applied these parallel numerical integration algorithms in the DuQMoGeM solution of the PBE for three bivariate cases, obtaining speedups between 11 and 15.

In what follows, we will focus on the application of MECC for bivariate cases through examples.

Performance for the bivariate cases where and is illustrated in Figure 3 and for the cases where and in Web Figures 6 8.

A bivariate case of the proposed multivariate model is presented.

The proposed multivariate methodology, focused on the bivariate case, is applied to a case study located in Spain by using hydrograph volume and flood peak observed series.

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.

To demonstrate the procedure of the proposed approach, we used a bivariate case of AISI 52100 hardened steel turning employing wiper mixed ceramic tools.

The bivariate case turns out to be a particularly hard problem for causal learning because there are no conditional independences as used by classical methods for solving multivariate cases.

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.

This procedure has been designed for higher-dimensional vectors of infinitely divisible component variables, but the basic idea is applicable to a more general distributional setup in the bivariate case.

aFor simplicity we consider the bivariate case.