Since the solution lacks regularity, uniform refinement leads to the suboptimal rate O (N − 4 / 7 ), whereas adaptive refinement leads to the optimal rate O (N − 7 / 2 ).
Reflection on the introduction of vegetation and water into cities is notably lacking in regularity and uniformity and local authorities may have to resort to tools from a variety of sources when working on adapting to climate change.
And lacking of regularity in the key word selection also impacts the analysis process.
In addition, the lacking of regularity in the key word (extracting 20% keywords according to the law of two to eight) and mesh term selection also impacts the analysis process and results.
If (alphageq p-1), the weak solution lacks the regularity to define the trace on the boundary.
Since the solution u lacks the regularity when (alphageq p-1), we cannot define the trace of u on the boundary.
The main character of the equation is its degeneracy on the boundary, since the weak solutions generally lack the regularity to define the trace on the boundary.
In other words, the usual weak solution (for example, the measured value solution) is so weak that it lacks the regularity to ensure the stability or the uniqueness.
The recurrent irregularity of the rain seasons, and the deleterious effects on pastures and water availability, has given rise to a displacement pattern that lacks the regularity, directionality or the altitudinal characteristics of the mezhīro-merqīyo movement.
As in [1 3], due to the fact that the weak solution defined in our paper satisfies (1.7), when (alpha< p-1), we can define the trace of u on the boundary, while for (alphageq p-1), the obtained weak solution lacks the regularity to define the trace on the boundary.
However, cleavages in the central domains lack any regularity and to a first approximation are similar at most positions, indicating that there is little or no consistent positioning of nucleosomes in these regions.
