Sentence examples for scattering relation from inspiring English sources

The next step is to reparametrize the scattering relation.

In summary we have the following procedure to obtain the DN map from the scattering relation.

2.4 we discuss some results on the non-simple case where the measurements are given by the scattering relation.

In the case that ( M, g ) is a simple manifold, and we know the metric at the boundary (and this is determined if d g is known, see [129], knowing the scattering relation is equivalent to knowing the boundary distance function ([129]) so that we concentrate on studying the scattering relation.

2.2.3 we discuss the main step of the proof of Theorem 2.2 which consists in showing that, under the assumptions of the theorem, we can determine the Dirichlet-to-Neumann map if we know the scattering relation.

Then δ ⊥ ∇ ⊥ f = δ ∇ f = Δ f, δ ⊥ ∇ f = - δ ∇ ⊥ f = 0. We now give the characterization of the range of I 0 and I 1 in terms of the scattering relation only.

Scattering relations are also obtained by considering the continuity conditions at the interfaces between any two adjacent layers as well as the boundary conditions at the upper and lower surfaces.

Morphology development during the synthesis at room temperature of an interpenetrating polyurethane/poly methyl methacrylate) network was investigated by small-angle X-ray scattering in relation with their relative kinetics of formation, determined by Fourier transform infra red spectroscopy.

Furthermore, the thickness of the scattering layer in relation to the total thickness of the photoanode needs to be optimized balancing the dye-loading capacity of smaller diameter nanofibers and the light-trapping capacity of bigger diameter nanofibers.

The longitudinal difference between the PRE and observed plasma bubble may be responsible for the scatter of the relation between the PRE and maximum latitudinal extension of plasma bubbles.

The present research is a follow-up study where a series of cone calorimetry tests are conducted on conditioned PEEK specimens to analyze the previously reported ignition time scatter and its relation to surface bubble formation.