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In a special case, the general formulation simplifies to the well-known standard linear regression model available in the literature.
Thus, the theoretical formulation simplifies into a non-linear extremal problem with a constrained solution due to a singularity which is solved analytically.
The group formulation simplifies the handling of nonlinearities by interpolating the nonlinear products of variables, as opposed to seeking the product of independently interpolated variables.
In particular, in the context of the former, it is shown here that the current formulation simplifies to the corresponding weakly non-local GENERIC-based treatment of Gladkov et al. (2016).
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This formulation considerably simplifies numerical resolution.
This formulation greatly simplifies the achievement of the well-balancing of the present scheme.
After reviewing the state of the art, a new formulation, which simplifies and improves previous methodologies, is developed.
The AHP is combined with a mixed-integer non-linear programming (MINLP) formulation that simplifies its application and is particularly suited to deal with many objectives (like those arising in sustainable engineering problems).
Furthermore, simulation results obtained with the EDC-DRK model are compared with simulation results obtained with a simplified model combining the Eddy Break Up (EBU /finite rate formulation with Simplified Reaction Kinetics (SRK).
end{aligned} (1) In the special case where (f_{1}), (f_{2}) are constant with values (c_{1}), (c_{2}), respectively, this formulation is simplified to the Chan-Vese segmentation method [21] according to the level set method [32].
The above mathematical formulation is simplified by the fact that in the simulations shown, both Φ1 and Φ2 remain between 0 and 360°.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com