The dielectric constants of the basic semiconductor devices are usually small, and therefore boundary value problems for semiconductor equations with higher derivative terms can be regarded as singular perturbation problems with small parameters.
Therefore, boundaries A1G1 and BHIF satisfied the continuous conditions of deformation.
The artificial microstructures are, a priori, generated in a periodic manner and, therefore, possible boundary layer effects during computational homogenization are minimized.
The beam and the string are bonded at four points using adhesive material, and therefore the boundary conditions for their equations of motion are coupled, which increases the complexity of the problem.
In this optimization process the desired goal was to maximize the both responses and therefore, the boundary values were defined as Y 1 (21.75, 81.53) and Y 2 (22.3, 84.01) with H2O2/Fe2+ (B) ratio of 21.
If the modularity index is not larger than a certain threshold of choice, then it is considered that g has no evident community structure and therefore no boundary nodes and the loop continues to the next connected graph component g.
First, the free variations of the design field in topology optimization prohibits any interface to be defined a priori, and therefore the boundary conditions of equation (5) cannot be applied in this step of the optimization procedure.
Even better penalties can be designed when additional knowledge about the patient anatomy is available from other imaging modalities such as CT or MR. These penalties typically assume that anatomical boundaries tend to coincide with metabolic boundaries, and therefore avoid smoothing over anatomical boundaries.
Therefore, boundary value problem (1) has no positive solution.
Therefore, boundary organization is an important concept, but primarily as a way to facilitate interaction.
