Sentence examples for 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.

The positivity condition is expressed in the non-commutative phase space in terms of the full matrix symbol, which is defined using the representations of the group.

In this paper, we define in an intrinsic way operators on a compact Lie group by means of symbols using the representations of the group.

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.

Phase I: using the representations for alignments between (q, r i ) and (r i, d) pairs, our indirect alignment ϕ i between q and d through r i is simply the composition of relations δ i and ψ i.

Defining probability and utility using the representation theorems thus weakens the traditional principle of expected utility.

Using the representation, we construct solutions for Dunkl-Poisson's equation.

Using the representation of (5.4), these corresponds to (beta_{4}=2) and (beta_{5}=1).

The optimal input is designed by a numerical optimization using the representation.

By the monotonicity of with respect to its third argument,, and using the representation for any we obtain (5.6).

Using the representation theorems, a general form of constitutive equations for micropolar hyper-elastic isotropic materials is presented.