Sentence examples for in an appropriate function from inspiring English sources

We first present constructions which induce topologies on subsets of a fixed domain or hold-all D in RN by using set parameterized functions in an appropriate function space.

In this article we give a description of the global structure of the Julia sets J and (J^) of a dissipative hyperbolic Hénon map in (mathbb{C}^{2}) as the unique fixed point of a contracting operator in an appropriate function space.

The solution u is a function commonly sought in an appropriate function space X (usually X ⊂ H 1 or a space smooth enough to ensure existence and uniqueness of the solution of the minimization problem [61,48]), subject to the Dirichlet boundary condition u | Γ D = g, i.e. X D = { v ∈ X | v | Γ D = g }.

In our work [59], an appropriate function was suggested that could be minimized by calculation for all stereoisomeric structures or by using a stochastic genetic algorithm to limit the number of stereoisomers that need to be investigated [60].

For cell-based therapies to be successful, it is fundamental that implanted cells have the correct phenotype to produce an appropriate functioning matrix in vivo.

The existence of a solution to the inverse source problem is shown in appropriate function spaces and a representation formula for the solution is proposed.

The extended solution converges on the original domain in the appropriate function spaces as the penalty parameter approaches zero.

To compensate for this difference in choosing appropriate function form for the all groups of the subsectors, estimators have been obtained by using the both functions form.

In this paper, we consider boundedness properties for localization operators acting on Lorentz mixed-normed modulation spaces for the symbols in appropriate function spaces like modulation spaces, Wiener amalgam spaces, and Lorentz spaces with mixed norms.

Many problems can be solved in terms of the minimization of a functional, usually related to the energy, in an appropriate space of functions.

As we will see, all these problems can be understood and solved in terms of the minimization of a functional, usually related to the energy, in an appropriate space of functions.