Sentence examples for functional by using from inspiring English sources

The aforementioned model is derived from a free energy functional by using a Coleman Noll approach.

Another usual way is avoiding the indefinite character of the original functional by using the dual variational method; see for instance [10 12, 14].

We remark that we have already been proven that the entropy functional (by using fV) possesses for every graph a maximum at α = 1, see [28].

Yet the systems remain functional by using SERT and ADRα2-like receptors for DA uptake and effect on target cells.

We consider functionals due to the difference in Petrović and related inequalities and prove the log-convexity and exponential convexity of these functionals by using different families of functions.

The rotational and translational parameters were subsequently transformed by linear scaling to a standard size and the resulting parameters were used to transform the functional slices by using trilinear interpolation (thus, functional slices were aligned with the stereotaxic coordinate system).

Further, the DETs were grouped into various functional categories by using their corresponding Arabidopsis protein IDs in MIPS functional catalogue (http://mips.gsf.de/projects/funcat).

To investigate the functional significance of the protein differentially expressed, we performed a functional classification by using PANTHER application system.

In this paper, we define generalized additive set-valued functional equations and prove the Hyers-Ulam stability of generalized additive set-valued functional equations by using the fixed point method.

After functional prediction by using SNPinfo Web Server (http://snpinfo.niehs.nih.gov/), a total of seven potentially functional SNPs were selected (Table S2).

We reduce the problem to a system of functional equations by using the given data and then we obtain the solution by the method of Kuczma (Functional Equations in a Single Variable, 1968).