Sentence examples for boundary of the unit from inspiring English sources

Therefore, all t-norms coincide on the boundary of the unit square [ 0, 1 ] × [ 0, 1 ].

Unit 3 reflections are deformed internally, but the upper boundary of the unit is not disrupted.

On the one hand, it can be realized as the boundary of the unit ball in several complex variables.

In this paper we consider the problem of prescribing the mean curvature on the boundary of the unit ball of R n, n ≥ 4.

Here, we bypass this problem by means of a new integral representation that relies on the free-space Green's function alone, adding auxiliary layer potentials on the boundary of the unit cell itself.

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}})).

In frequency domain calculations for band structures and transmission spectra of finite PhCs, the DtN maps allow us to reduce the computation to the boundaries of the unit cells.

In these simulations, the a-Si H thin film is sitting in the middle of a-Si Huthin unit cell (shown in filmre 1b), the metallis nano-particle isittingd on the a-Sinthen filmiddle the bofndary computings of the unit cell are showns perindically (Bloch-periodic in both x and y directions).

Unit cell problem must be solved first for obtaining influence functions whose calculational accuracy depends largely on the boundary conditions of the unit cell problem; and homogenized problem must be solved for obtaining homogenized displacement derivatives whose accuracy depends largely on the order of used finite elements and meshes.

The lower boundary of this unit is uneven and erosional.

This is problematic as the boundaries of the units may not align well, leading to jumps in the animation.