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To this end, the objective function and the reliability constraints are approximated by using a hybrid form of linear, reciprocal and quadratic approximations.
For a model with highly varying and multiscale conductivity, its macroscopic conductivity is approximated by using a mortar method.
Based on the maximum entropy principle, the cost function of EDP is approximated by using a smooth and differentiable function to improve the performance of the SQP.
To improve the performance of the SQP, the cost function of EDP is approximated by using a smooth and differentiable function based on the maximum entropy principle.
The technique is based on the pinch-analysis method by using a grand-composite curve (GCC), which can be approximated by using a mathematical function.
Computed spectral density functions also show how the Newtonian modes can be approximated by using a small γ in the range of 5 20 ps−1.
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Through numerical simulation of the radiative heat transfer, polydisperse water droplets can be approximated by using the Sauter diameter, a technique that can be useful in several research fields, such as engineering and atmospheric science.
In doing this, the displacement function of the plate is approximated by using the eigenfunctions of a completely free beam.
Using the definition in (4), the PDF f X (x) can be approximated by using the Fourier transform of an estimated characteristic function [53].
The PDF can be approximated by using square root B-spline expansions.
In order to rationalize subsequent numerical calculations, the transfer functions are approximated by using truncated series.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com