Sentence examples for boundary of the disk from inspiring English sources

The cushion compensates for the irregularities of the geometric boundary of the disk.

The focus of this study was the contact area between the loading block and the geometric boundary of the disk.

The load distribution over a small area at the geometric boundary of the disk could avoid the high-stress concentration near the loading block.

An analytic map φ of the disk to itself is said to have a finite angular derivative at a point ζ on the boundary of the disk if there exists a point η, also on the boundary of the disk, such that the nontangential limit as (z rightarrowzeta) of the difference quotient ((eta-varphi z))/(zeta-varphi zts as a finite complex value.

Using techniques from Douglas et al. (2011) [4] and a uniformization result that expresses ϕ as a holomorphic covering map in a neighborhood of the boundary of the disk, we prove that Aϕ is commutative, and moreover, that the minimal reducing subspaces are pairwise orthogonal.

In the previous two subsections, we assumed that, for simplicity, the stellar wind velocity is constant over the whole region between the inner and the outer boundaries of the disk.

The only case in which (a part of) the boundary of the input disk does not intersect any colored disk is when it is contained inside a corridor.

So we should only consider colored disks that intersect the boundary of the input disk.

Note that points are not necessarily on the boundaries of the disks, but they are drawn this way to make the picture clearer.

As is well known, an early result of Shapiro and Taylor [8] in 1973 showed the non-existence of the angular derivative of the inducing map at any point of the boundary of the unit disk is a necessary condition for the compactness of the composition operator on the Hardy space (H^{2}({mathbf {D}})).

The inner boundary of the debris disk was estimated at 11″ ± 2″, or 70 100 AU.