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The local Kronecker delta property provides the feasibility of directly imposing the essential boundary conditions for the EFG method.
The present formulation, that employs a penalty method for imposing the essential boundary conditions, can be easily extended to 3D and/or non-linear problems.
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The essential boundary conditions are formulated separately from the discrete system equations by the aid of Lagrange multiplier method, while an orthogonal transformation technique is also applied to impose the essential boundary conditions in the discrete eigen-value equation.
Because the shape functions of the EFG method obtained by the moving least-squares (MLS) approximation, generally, do not satisfy the Kronecker delta property, special techniques are required to impose the essential boundary conditions.
Previously it has been proved that as for cyanobacteria-based production of chemicals and biofuels, metabolic capacities of the core pathways usually imposed the essential control over the product formation rates and carbon partitioning ratios [ 2, 11, 18, 29, 30].
In practice, engineers and managers have to make choices on the type, quality, and costs of the safety solutions available within the constraints imposed by the essential safety requirements.
COI1 proteins were observed to be highly conserved, confirming the high degree of COI1 conservation during the evolution, which reflects the selective pressure imposed by the essential functions of COI1 in plants.
If we have for all essential reactions i∈ Ψ, then the optimal (i.e. maximum) capability τ* is given by (6) Therefore, increasing the maximum value of the objective τ* requires the relaxation of the upper bound imposed by the essential reactions on the objective τ.
BUBR1 is important for this process because of its essential roles in imposing the spindle assembly checkpoint (SAC) and promoting chromosome congression at the kinetochore (Ditchfield et al., 2003; Lampson and Kapoor, 2005).
We incorporate essential boundary conditions by imposing the following constraints on the DOF that are associated with Γ D, i.e. for all i such that Γ (i, D ) ≠ ∅ : (19) u k (i ) = g k (i ) ∀ k ∈ D (i ).
Identification of the types of occupational physical activity imposing the increased risk for cardiovascular disease is essential for designing effective preventive initiatives.
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