Sentence examples for boundaries the solution from inspiring English sources

These problems include particle absorption, reflection and emission at boundaries, the solution of Poisson's equation under non-periodic boundary conditions, and the treatment of an external circuit connecting the boundaries.

Compared with the current patrol district boundaries, the solution generated from our patrol districting approach shows improvement on both average response time and variation of the workload through the detailed simulation study.

Indeed, "far" from the free boundary, the solution u solves the equation (Delta u=g(x)) and is locally (C^{1,1}) by assumption.

On boundaries where the solution is given, we apply a DIRICHLET boundary condition and the test function vanishes.

The proposed approach enables one to observe the inter-relationship between the involved performance indicators, while providing a possibility to visualise the boundaries of the solution space.

This constitutes an estimate of the constraint boundaries at the solution point, and it is updated at each QP iteration.

The two bright lines denote the top and bottom boundaries of the solution layer.

Since the optimal results of deterministic design usually converge at the constraint boundary, the solutions of RBDO often need to compromise some objective performance to satisfy the predetermined reliability levels.

For determining the second boundary, the solutions that located in first boundary ignore and the procedure is repeated again.

Kohn's work, which should be viewed as the starting point for the Hodge Theorem on manifolds with boundary, provided (L^2) estimates and regularity up to the boundary for the solution of the Cauchy Riemann equations having minimal (L^2) norm.

The HPSC process introduces a hyper-plane boundary in the solution space to prevent backward path-tracing.