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As in early approaches to shape optimization, the domain variation is specified by modification of boundary nodal points, hence leading to an updated Lagrangian description for the course of optimization.
Such BNs are capable of simulating changes in state of the molecular network caused by external perturbation or modification of boundary conditions.
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Modification of boundaries in S must be conducted in such a way that S becomes generalized as minimally as possible and boundaries in S stay more specific than boundaries in G.
Modification of boundaries in G must be conducted in such a way that G becomes specialized as minimally as possible and boundaries in G stay more general than boundaries in S. In cases where the sample has a positive label, each hypothesis in G which rejects the sample is eliminated and boundaries in S become generalized enough to accept the sample.
Modification of boundaries in G must be conducted in such a way that G becomes specialized as minimally as possible and boundaries in G stay more general than boundaries in S. For further explanation of the algorithm, its pseudo-code is given in Fig. 1.
Experimental grain boundary engineering studies have demonstrated the potential for materials properties enhancement via the modification of grain boundary network structure.
To obtain a stable approximate solution of the problem (1.1), we make a modification of the boundary value of the (1.1) as follows: u ( x, 1 ) + β 2 f ( x ) = g δ ( x ).
These limitations can be overcome by a modification of the boundary conditions, that is, the release of the condition for the jet tangent at the nozzle in favor of an appropriate interface condition, [17 19].
If the initial condition corresponds to a steady state configuration with coexistence of two phases on the sample, then approximate analytical expressions can be found by suitable modification of the boundary conditions.
To account for the deposition of many fibers within a short time period we realize the laying down by a modification of the boundary conditions instead of using Coulomb friction: as soon as the fiber comes in contact with the conveyor belt, the fiber point is fixed and transported with the belt speed.
As well as full numerical solutions of the Pridmore-Brown equation, simplified mathematical models are given where the duct lining and boundary layer are lumped together and modelled using a single boundary condition (a modification of the Myers boundary condition previously proposed by the author), from which a surface mode dispersion relation is derived.
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