Sentence examples for spectrum of the problem from inspiring English sources

It grasps over the whole spectrum of the problem from the tail-behaviour of the parent distribution via the asymptotic theory of extreme value distributions to the derived distribution approach allowing a physical interpretation of its parameters.

We show that the essential spectrum of the problem consists of the essential spectrum of the purely periodic problem and another component, which is the union of the discrete spectra of model problems in the infinite perturbation strip; these model problems arise by an application of the partial Floquet Bloch Gelfand transform.

So the spectrum of the problem corresponds to the spectrum of the operator and there exist an infinite but countable number of real eigenvalues.

From (1.4), it is obvious that the poles of R x, ξ, λ) are the roots of the function Ψ s), which is the spectrum of the problem (1.1 - 1.2).

Further we show that the singularities of (Phi x, lambda)) and (M lambda)) coincide with the spectrum of the problem L. The Weyl functions and their generalizations often appear in applications and in pure mathematical problems for various classes of differential operators.

Consequently, the studies that assessed only one measure, either the OHIP-14 or the GOHAI, did not show the full spectrum of the problem.

It is well known in [8] that for each the spectrum of this problem is an enumerable set of eigenvalues.

(16) are continuous in D̅ eigenfunctions of EV-problem (7), (8) for each (lambdain(c,+infty)). Thus, the spectrum of this problem is non-discrete.

The chemotropic versus inductive effects of BMPs represent extreme examples in the spectrum of this problem and knowledge of agonist selectivity and transduction mechanisms are likely to illuminate the general issue.

By adopting such a spectrum of exponentials, the problem is linearised and, so, is less prone to noise effects in the measured data.

The spectrum of the Dirichlet problem for (3.1), subject to Dirichlet boundary conditions (3.5). is studied in [17].