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The numerical solution can be obtained efficiently by solving a linear matrix inequality (LMI).

Given the block-partition information of a model, the interior control points can be obtained efficiently by solving a sparse linear system.

We concluded that maize mutants with low-P tolerance could be obtained efficiently by cellular engineering and the low-P tolerance of maize inbred lines 99038 appeared to be a complicated metabolism process controlled by major genes.

In engineering application of failure analysis, for butt joint with single-edge crack under static load, critical stress and critical crack length can be obtained efficiently by using these expressions.

In order to ensure the strict feasibility of the optimal solution, in the lower-level of program, the constraints are imposed on the confidence upper bounds of the structural responses, which can be obtained efficiently by solving some convex linear semi-definite programs (LSDPs).

By exploring the inherent nature of the CNDP, the marginal function for the lower-level user equilibrium problem is proved to be continuously differentiable and its functional value and derivative in link capacity enhancement can be obtained efficiently by implementing a user equilibrium assignment subroutine.

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Sensitivity information is obtained efficiently by an estimated critical load factor at a precritical state.

The trisaccharide scaffold was obtained efficiently by applying the sulfoxide glycosylation reaction as a key methodology.

In the generalized Peierls Nabarro model, the anisotropic elastic energy is obtained efficiently by solving the elasticity system associated with the disregistry across the slip plane using the fast Fourier transform method, and the generalized stacking fault energy is used for the interplanar potential across the slip plane.

However, solution time is obtained efficiently by avoiding big numbers in the sequential constraints.

When the number of markers is large relative to the size of g, BLUP of g can be obtained efficiently [ 8, 9] by solving the MME that correspond to model (3).

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