"higher regularity" is a valid phrase and can be used in written English.
It refers to something that is more orderly or structured than before. This phrase is commonly used in academic or technical writing, particularly in fields such as mathematics, physics, and computer science. Example: The higher regularity of the new algorithm allowed for faster computation times and more accurate results.
When instead dependence on x becomes more regular then higher regularity follows.
Then a pointwise bound on ν ( t ) ∈ L 2 ( D ), i.e., a constant C such that | ν ( t, x ) | ≤ C for almost all x ∈ D and all t ≥ 0, are then easily obtained by an approximation argument, that is, approximating the less regular solution by solutions of higher regularity.
In this section, we investigate the higher regularity and prove the maximum principle for the regularized system (1.3).
Manufacturing at the atomic scale demands higher regularity and produces less controlled structures.
In particular, higher regularity for solutions of such SPDE is obtained.
Moreover, recent numerical results for the self-consistent coupling of equilibrium with resistive diffusion and transport suggest the necessity of higher regularity when approximating the flux map.
We thus demonstrate that the performance of the concerned algorithm is comparable with that of KRR, and even outperforms it when the regression function has higher regularities.
This is due to the fact that the angle entropy of the buried residues is lower than that of the exposed ones, demonstrating the higher regularities of the protein fragments in core regions.
The primary structure of fibrous proteins is also characterized by high regularity and periodicity, which ensures the formation of vast regular secondary structures.
Ultra-thin porous ZnO nanosheets with high regularity were obtained by electrodeposition followed by annealing.
The filter banks have mathematical properties of finite impulse response, symmetry, linear phase, quasi-orthogonality, high regularity etc.
