Sentence examples for separate boundary from inspiring English sources

The two-scale modeling based on mathematical homogenization theory enables us to formulate two separate boundary value problems in terms of macro- and microscales.

In this approach the boundary is equipped with its own thermodynamic life, i.e. we assume separate boundary energy, entropy and the like.

However, the major drawback of the conventional four-pole method is that it requires two separate boundary element runs due to the two different boundary conditions imposed on the outlet boundary.

Consider the Sturm-Liouville problem -y t)- y(t)=mu^{2}y(t), quad t in[0,1], (4.1) with the separate boundary condition of the form y'(0,mu)=y(1,mu)=0. (4.2) In this case, the characteristic function is begin{aligned} mathcal{D}(mu):=cos bigl(sqrt{1+mu^{2}} bigr), end{aligned} (4.3) and the exact eigenvalues are (mu^{2}_{l}:=(2 l+1)^{2} pi^{2}/4-1), (l inmathbb{Z}).

However, the professional ethics of social work requires social workers and social work organizations to maintain separate boundaries from clients, colleagues, other organizations, etc.

Many of the Σ3 boundaries are extremely complex, with highly re-entrant shapes that can intersect a sample plane many times, giving a false impression of multiple separate boundaries.

We consider the separated boundary conditions (1.2). with,.

For and, we consider the separated boundary problem (1.1) with (2.14).

The first case covers the periodic case and the second one separated boundary conditions.

It is easier to achieve the separating boundary than learning on the full dataset.

Setting,, and in (2.11), where, are elements of in (1.2), we get the following separated boundary conditions: (214).