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The mathematical formulation involves compact convolution operators that relate displacements of the interface atoms and the adjacent atoms on the coarse grain.
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Herein, we have introduced a mathematical formulation that involves all the significant elements participating in the pathway, facilitating a more holistic description of the dynamic behaviour of the pathway.
The mathematical formulation of this question involves the Dirichlet eigenvalues of the Laplace equation in the plane, that represent the fundamental modes of vibration in direct analogy with the integers that represent the fundamental modes of vibration of the violin string.
Section "Mathematical formulation" formulates a mathematical model in order to maximize the total profit of the retailer.
Both types of models will typically involve complex mathematical formulations and require estimates of a number of biological parameters as inputs.
The mathematical formulation of this basic model, however, involves the specification of some parameters which are still uncertain.
The IDEs are often involved in the mathematical formulation of physical and engineering phenomena [4, 5, 6].
The immersed boundary method is both a mathematical formulation and a numerical scheme for problems involving the interaction of a viscous incompressible fluid and a (visco- elastic structure.
The paper is devoted as follows: "Formulation" deals with the preliminary and mathematical formulation; "Proposed algorithm" contains the proposed algorithm; "Applications" involves applications modeling systems; "Stability" studies the stability of the proposed algorithm; and "Conclusion" concludes our work.
The proposed mathematical formulation is general and it can be applied to any waste type, involving different landfills, sites, cities, processing routes and processing plants.
23 LGC measurement models were preferred as these models employ a straightforward mathematical formulation and the estimation results do not require advanced mathematical expertise to interpret the outcome.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com