But in most well-known documents, it is assumed generally that increasing operators possess stronger continuity and compactness.
Furthermore, it is shown that the polymeric bicontinuous structures from polydisperse ABA triblock copolymers possess good continuity throughout the sample, making them ideal candidates for advanced applications.
There are a very limited number of two-dimensional finite elements possessing C1-continuity applicable to complex geometries, but none in three-dimensions.
The modulus of continuity possesses the following property: ω ( f, λδ ) ≤ ( 1 + λ ) ω ( f, δ ).
It was the main reason why Serovajskiy has proposed the concept of the so-called quasi-adjoint system [25] and showed that optimality conditions for the linear elliptic control problem in coefficients can be derived, provided the mapping u ↦ ψ ε ( u ) possesses the weakened continuity property.
Since the mesh-free approximation automatically satisfies the higher-order continuity and possesses intrinsic nonlocal property, the established quasicontinuum theory takes into consideration both atomic interaction and the size effect for modeling this microscale structure.
Rudist beds in platform carbonates of Late Barremian age (Early Cretaceous) cropping out in the Marseille region (Provence, SE France) possess a substantial lateral continuity (>40 km) whereas associated rudist bodies tend to be less continuous.
Weber observed that the advantage of bureaucracy was that it was the most technically proficient form of organization, possessing specialized expertise, certainty, continuity, and unity.
Dedekind goes on to show how the domain of cuts, and thereby the associated domain of real numbers, can be ordered in such a way as to possess the property of continuity, viz.
Ford, though, possesses an underlying conviction about continuity — of character, of place, of history — while in Kennedy's world everything is up for grabs, all the time.
