Sentence examples for application of the operator from inspiring English sources

The whole analysis may be performed by a repeated application of the operator.

Some interesting application of the operator ( C 1 ⋅ N p ) used in this paper is pointed out in Note 3.4.

The application of the operator splitting permits the isolation of the nonlinear part of the equation that is solved by explicit Adams-Bashforth time marching for half the time step.

By a change of variable and the definition of c δ, we have again: Remark 2. Observe that: As an application of the operator fractional derivative D δ, we will give a characterization of the potential spaces, which is simpler and more powerful, valid for any 1

Application of the operator ∇ m to Eq. (1), multiplication by, integration over time interval (t0, t1) and volume of the sphere G, and finally, use of the Gauss theorem and integration per parts, yields after some algebra, (19 Differentiating the resistivity with respect to any parameter is trivial, (20)Integration of (19) is therefore straightforward with only one caveat.

As the advantage of the algorithm due to application of the operator splitting technique, principally any standard cardiac model of reaction-diffusion type for modeling wave propagation can be easily incorporated into the adaptive algorithm.

We construct an approximation of the free space Green's function for the Helmholtz equation that splits the application of this operator between the spatial and the Fourier domains, as in Ewald's method for evaluating lattice sums.

Then, complex defect configurations can be constructed through reiterative application of the operators.

After producing designs, the system shows some models to the user, and then according to evaluation and application of the operators of the genetic algorithm (selection, crossover and mutation), produces better designs.

Some basic LVFs can be presented in terms of "inference rules" that regulate the application of the operators and the transition from one formula to the next when describing a biological process, as discussed in the next section.

Some applications of the operator J s, b ( f ) to certain classes in Geometric Function Theory can be found in [14 16] and [17].