Sentence examples for continuity of surface from inspiring English sources

The arbitrary assumption that the grain boundary flux is equally delivered to (or extracted from) the two adjacent free surfaces of the grains is replaced by a condition that requires continuity of surface chemical potentials at the grain boundary.

But K j → K 0 also implies that S i ( K j, ⋅ ) → S i ( K 0, ⋅ ) weakly on  S n − 1. follows from the weak continuity of surface area measures (see, for example, Schneider [12, 19]).

But (K_{j}rightarrow K_{0}) also implies that S_{i}(K_{j},cdot)rightarrow S_{i}(K_{0}, cdot) quadmbox{weakly on } mathbb{S}^{n-1} follows from the weak continuity of surface area measures (see, for example, Schneider [17, 39]).

Histological analysis of antral biopsy specimens revealed that Hp infection (both SS1 and AM1 strain) caused mucous depletion, loss of continuity of surface epithelium along with distortion and erosion of surface epithelial cells at places compared with that of control.

More importantly, he discovered that once an animal had learned to discriminate two shapes, he was able to generalize this discrimination "in spite of alteration in size, continuity of surface, or of outline [of the shapes and was] able to discover the figure in various combinations with irrelevant lines" [138] (see Fig. 1B and C).

We show that the construction of these functions is closely related to the concept of geometric continuity of surfaces, which has originated in geometric design.

Along the thermal grooves, where the grain boundaries and the exterior surfaces couple, balance of mechanical forces, continuity of the surface chemical potential, and balance of mass flux dictate the boundary conditions.

However, the parametric continuity of a surface is relevant to its selected parameter and is usually valid under certain ones.

For a piecewise generalized Bézier-like surface with G 2 smooth continuity, the following conclusions are established under the condition that the control mesh points and G 2 smooth continuity of the surface remain unchanged.

In this study, a modified version of Nyvad's method was used, i.e. the lesions were categorized according to the continuity of the surface to three categories, and activity was assessed in each category.

Bounding surfaces and the associated sediments represent a sudden increase in water depth and the lateral continuity of these surfaces indicates regional to basinal extent.