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We consider several motivating applications involving partial differential equations and unconstrained minimization to demonstrate this approach and evaluate performance.
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Few examples of compliance minimization are shown to demonstrate that mathematical programming yields similar results as that of BESO for volume-constrained problems.
Four classical truss structure weight minimization problems are presented to demonstrate the robustness of the proposed algorithms.
These formulas have been applied to an integrated multiband WLAN frequency synthesizer RFIC to demonstrate noise minimization through judicious choice of loop parameters.
They developed a thresholding representation theory for l 1/2 minimization and conducted a phase diagram study to demonstrate the merits of l 1/2 minimization.
Finally, the flow reactor data were used to demonstrate how model uncertainty minimization can improve model predictions.
To demonstrate the MRF energy minimization procedure and the underlying convergence behavior that results in global optimal secondary network configurations, we examine the trivial case of a line secondary topology (as shown in Figure 2), where the distance between neighboring SUs allows communication only at their maximum transmission power and thus, optimal configurations can be easily deduced.
Finally, the derived IBO bounds are compared with the numerical maximization of the SINR and the minimization of the bit-error rate (BER) to demonstrate that the theoretical bound settings provide good approximations to the optimal one.
Waste minimization clubs have been used, since the early 1990s, to demonstrate to industry/commerce that reducing waste production can lead to significant financial savings.
Some examples of volume minimization subject to a compliance constraint are presented to demonstrate the effectiveness of the method in dealing with a non-volume constraint.
Various engineering optimization problems, including mathematical function minimization and structural engineering optimization problems, are presented to demonstrate the effectiveness and robustness of the HS algorithm.
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