Sentence examples for sphere boundary from inspiring English sources

where b n (kR) is the normalized far-field mode strength and depends on the sphere boundary [8], l = 1, 2, …, L, and d1 = 1, 2, …, D1.

where b n d 2 kR, k r d 2 is the normalized near-field mode strength and depends on the sphere boundary and the source distance r d 2. Similarly, aN l, d2, k) represents the transfer characteristics from the d2th near-field source to the l th sensor.

Two sets of meshes are generated for this case: 1) a high-density uniform mesh and 2) a mesh with higher density around the sphere boundary and source.

The solution reproduces the mean-field result and includes the previously-neglected effects of sphere-boundary interactions.

It demonstrated that signal elevations at the spheres' boundaries (known as Gibbs artifacts [17]) occurred only in PSF + TOF and PSF and only at medium (6:1) and high (16:1) SBR.

In this model, when the solute is in contact with a reflecting sphere or boundary, the spin is neither transported through the boundary, nor is it relaxed by the boundary.

This study is motivated by relevant applications for solving many real-world problems which give rise to mathematical models in the sphere of boundary value problems.

The treatment of the sphere-wall boundary condition is analyzed to avoid underestimating the friction of pebble near the wall.

The function r defined by (16) satisfies the estimate r x,t geq a,quad (x,t in Q_{T}, (28) where (a>0) is the radius of the smaller boundary sphere of the starting domain.

The principle idea is to apply the two-dimensional method, on the surface of each candidate boundary sphere, to the circles of intersection with neighboring spheres.

They are due to the asymmetrical nature of the eddies that develop at the rear of a spinning sphere (see below Boundary layers and separation).