Sentence examples for in terms of the approximation from inspiring English sources

Using (3), power allocated to the th mode can be expressed in terms of the approximation parameters as (7).

This work is concerned with obtaining bounds on the number of eigenvalues of L in subsets of the complement of the essential spectrum of L0, in terms of the approximation numbers of the perturbing operator K. Our results can be considered as wide generalizations of classical results on the distribution of eigenvalues of compact operators, which correspond to the case L0="0.

Paradigms of steepest descent approximations have delivered good performances in practice and also appear to be the best candidates in terms of the approximation achieved to optimum descriptor sizes [ 14].

The AN/SA method includes explicit analytical expressions for each of the approximations in terms of the preceding approximation.

Far-field diffraction effects are discussed in terms of the Fraunhofer approximation in Fourier space.

This enhanced catalytic activity of Pt containing dissolved oxygen is interpreted in terms of the band approximation model of metals.

Section 3 also proves an a-priori bound of the total error in terms of the best approximation error for piecewise-polynomial test- and trial spaces (V_{h}).

The long wavelength behaviour of Fs k, t) can be explained in terms of the Gaussian approximation: Fs k, t)=exp −k2〈Δr2 t))〉).

The accuracy of numerical results was evaluated in terms of the physical approximation errors, namely inlet boundary conditions and turbulence models, and spatial discretization errors due to the number of grid elements and grid refinement near solid surfaces.

We use simulations to evaluate the proposed algorithms in terms of the achieved approximation ratio and computational complexity on hierarchical cache network topologies as a model of mobile backhaul networks.

For amenable groups we give a complete characterization of matricial stability in terms of the following approximation property for characters: each character must be a pointwise limit of traces of finite-dimensional representations.