Previous attempts considered arbitrarily constructed schemes, which may be, but need not to be, optimal.
In this paper, we extend the scalar-potential finite-difference (SPFD) approach in order to consider arbitrarily shaped time-harmonic field sources.
—This feature dominates also the Auslander bijections: First of all, there is the extreme case of C being projective, then we consider submodules (and we consider arbitrarily ones, not just the radicals of the indecomposable projective modules).
The periods employed for increasing or reducing the duration of the portfolio with respect to the investment horizon were considered arbitrarily; nevertheless the results are robust to other selections.
We will consider arbitrarily given γ < Γ and the solution ζ of the adapted Riccati equation determined by the Cauchy problem (4.8), ζ ( T ) = 2 ξ 0, where ξ 0 : = − [ p α ( p − 1 ) ∫ T T + α 1 r q − 1 d τ ] 1 − p. As in the first part of the proof (see (4.9)), we can estimate ζ ′ ( t ) > p − 1 t [ ζ ( t ) + | ζ ( t ) | q ( r + ) q − 1 ]. for all t from the domain of ζ.
(iii) Since we may consider arbitrarily large n and hence arbitrarily small ε0, both bounding B D-processes are super-critical.
This article proposes an RLS-TDE method which improves the performance of TDE by considering an arbitrarily moving speaker.
Considering an arbitrarily shaped energy landscape the pinning force at each pinning site is given by the derivative of the flux line energy with respect to the considered direction.
Considering an arbitrarily moving target, let vector ϑ represent the target micromotion parameters, such as the initial position (x, y), velocity, rotation frequency etc. Suppose the target moves to (x ϑ,θ, y ϑ,θ ) when radar is located at y'. f is the scattering coefficient.
