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The mechanical modeling of the structure and the subsequent finite element approximation are based on the classical equations of motion, as they are derived from Hamilton's principle, in connection with simplified modeling of the piezoelectric sensors and actuators.
The mechanical modeling of the structure and the subsequent finite element approximation are based on Hamilton's principle and classical engineering theory for bending of beams in connection with simplified modeling of piezoelectric sensors and actuators.
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This approximation is based on the observation that one could use a function g (u) to approximate an asymptotic function g∞ via g ∞ = lim s → 0 g s z : = sg s − 1 z.
For these schemes, we first introduce a B-spline hypervolume to approximate an objective function defined in a design space, where the approximation is based on Latin-hypercube sampling points.
This approximation is based on a Taylor series approach.
The proposed approximation is based on the extreme value theory of multivariable functions [24].
This approximation is based on the fact that and in practice.
The finite element approximation is based on the optimality conditions, which are also derived.
The approximation is based on finding small local designs for independent prediction at particular inputs.
The essence of the supercell approximation is based on this fact.
The convex approximation is based on the following lower bound: log_{2}left(1+text{SINR}right)geq alphalog_{2}text{SINR} + beta, (10).
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