Sentence examples for flat boundary from inspiring English sources

We first prove the theorem for the special case of flat boundary, and by using it, we take care of the general cases.

This paper develops a novel general matrix method for paraxial skew ray-tracing in systems with non-coplanar optical axes containing spherical and flat boundary surfaces.

The far-field noise generated by a system of three Gaussian vortices lying over a flat boundary is numerically investigated using a two-dimensional vortex element method.

The velocity of the fluid in the domain is non-slip on both upper and lower flat boundaries.

The sintered samples have flat boundaries between layers, and their microstructure is free from cracks and delamination.

The multilayered materials can be easily arranged in a planarly stratified configuration due to all the flat boundaries, which makes the proposed cloaks much easier in fabrication and application.

Our domain is composed of a finite number of disjoint subdomains with (δ,R -Reifenberg flat boundaries, and the coefficients, which are allowed to have great discontinuity across the boundaries of subdomains, have small BMO semi-norms on each subdomain.

By EELS, the chemistry and the change in the atomic bonding of both the flat boundaries of the abnormal grains and the faceted grain boundaries of the matrix grains are studied.

In areas without grazing pressure, the vegetation gradient changes from a pioneer Puccinellia maritima dominated community at the tidal flat boundaries through a Atriplex portulacoides dominated community in the middle of the marsh to a mature Elymus pungens dominated community at the landward edge.

We investigate the stabilizing effect of elasticity in the Rayleigh–Taylor (RT) problem of stratified immiscible viscoelastic fluids, separated by a free interface and in the presence of a uniform gravitational field, in a horizontally periodic domain where the velocities of the fluids are non-slip on both upper and lower fixed flat boundaries, while the internal surface tension is omitted.

Therefore, in the absence of boundary evidence, this strategy favors flat boundaries, which is consistent with our initial flattening step.