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The fractional time delay in the sensor to controller and controller to actuator channel is approximated using the Thiran approximation technique to design the sliding surface.
In our calculations, the density functional theory (DFT) is approximated using local density approximation (LDA) and its generalized gradient corrections (GGA) as implemented in the PBE formulation [19].
Each scale variable is approximated using a meshfree method.
The POF is approximated using a quintic polynomial.
This function is approximated using a truncated complex Fourier series.
Each scale variable is approximated using meshfree method.
Anthropogenic transformation within each biome is approximated using population density, agricultural intensity (cropland and pasture) and urbanization.
The solution of the Fokker Planck equation is approximated using a reduced basis spectral method.
Thus, the complex process-based model is approximated using simpler data-based approaches.
The joint probability density of the surge and sway responses is approximated using the Nataf transformation.
Commonly, the permeability of fractures is approximated using the cubic law assumption.
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CEO of Professional Science Editing for Scientists @ prosciediting.com