Sentence examples for by using the representations from inspiring English sources

By using the representations which apply for the conventional treatment of Michaelis-Menten reaction scheme, data were successfully analyzed via the variations of nernstian equilibrium potentials with time.

Due to the properties of the solutions of the boundary value problem for the heat equation in Ω 0 and the Darboux problem, by using the representations (6) and (9), we conclude that u n ∈ W for all f n ∈ C 0 1.

Thus it will be better to analyze the stability of delay differentia systems by using the representation of the solutions directly.

This fact is derived by using the representation formula for a solution of the problem (1.1) and operator-valued multiplier in (L_{p,gamma } ( R^{n} E ) ).

Different sets of mutually orthogonal unit tensor bases are constructed from the strain argument tensor by using the representation theorem and corresponding irreducible invariants are defined.

By using the representation theory of the associated crossed product C⁎-algebra, we show that these notions are equivalent under certain conditions.

We developed a Web-based tool Gene-centric Content Management System (GenoCMS) for comparing public resources to proprietary results by using the representation of proteins as color-coded catalog.

We can represent this signal vector x H by using the sparse representations as x H ≈D H α H, where α H is a sparse coefficient matrix for the HR signal vector with only very few non-zero elements.

The start and end points for each of these segments can be determined by using the same representations constructed in the present study.

Also the reader can easily obtain various integral representations of these functions by using the integral representation of the new beta function (1) in the same way as in [1 6, 8 10].

Moreover, we show that even when we do not have access to the real objects and thus cannot capture more information from real objects by using the MIML representation, MIML is still useful.