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Using the fact that if X > 0 then tr (X-1) ≥ ∑ i 1/ X) i, i, the original optimization problem is simplified by minimizing the lower bound of the objective function.
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The proposed optimal SIT consists of two parts, optimal training sequences deduced with respect to the channel estimate's mean square error (MSE) and optimal power allocation between training and data derived by minimizing the averaged channel capacity lower bound.
Numerical studies of multilayer adsorptive system were reported mostly by considering isotropic and anisotropic vertical diffusion for gas-condensate system, assuming preferential motion of adatoms toward lower layers by minimizing the surface energy (see, for example, Ref. [16]).
Indeed, the bubbles continuously evolve toward lower-energy configuration by minimizing the interfacial area, so that we could obviously observe the spherical outlines along PVP cakes standing aside.
The approximation is fitted by minimizing the Kullback Leibler divergence between q and p, or equivalently maximizing a lower bound on marginal log-likelihood of the data.
They travel efficiently, by minimizing the distance they travel.
Friction Minimize friction on the axle by minimizing the contact surface area.
Using lower ultrafiltration rates and lower filtration fractions could prolong circuit life, minimizing the procoagulant effects of hemoconcentration [ 6].
The lower layer is designed to split the driver power demand by minimizing a cost function which includes the hydrogen/electricity cost ratio.
The fits were performed by minimizing mean square error.
The models were constructed by minimizing Akaïke criteria.
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