First, there are non-trivial difficulties in the alignment process [ 16], necessitating several simplifying, but reasonable assumptions.
The only non-trivial difficulty comes when |∇u| ≈ 0.
The challenges are not trivial, and these difficulties have presented important barriers to progress in research on the determinants of dementia incidence and progression.
Thirdly, online (continuous) motion correction during reconstruction is not trivial and some difficulties with normalisation and attenuation correction still need to be investigated further [ 7].
The approach is not trivial due to the difficulties in preserving constant salts concentration in a solid state, while maintaining the conductive properties of the polymeric layer [ 12].
In a recent television interview, Grass tried to explain why it had taken him so long to tell the truth — not a trivial question, since the Germans' difficulties in facing the truth have been a constant theme of his literary and political life.
Such studies are not trivial however, because of inherent difficulties in efficiently expressing degenerins using a heterologous expression system.
Another issue is the fact that manually obtaining a suitable ground truth dataset is, as has previously been discussed, a far from trivial task paired with many difficulties.
The non-trivial boundary conditions create some difficulties and we find that sixth order systems for elasticity problems will require a shooting method for two functions of two unknown parameters over and above the calculations required for comparable problems in fluids.
Although this is no trivial matter, there is great difficulty in deciding which patients have which critical illness syndromes; far less attention has been paid to the denominator.
These limitations include non-trivial approaches for modeling complex geometries, difficulties in extending to non-periodic domains, as well as non-trivial extensions for spatial adaptivity.
