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Such equations can be solved directly, for example, by Runge Kutta Nyström (RKN) method.
The optimisation problem defined in (10) cannot be solved directly for Γ.
Taking these aspects into account, hydrological nonlinear equations should be solved directly for local water distributions and the consequent gravity change.
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Presented here are phase equilibria predictions using a mathematical method in which the van der Waals Platteeuw statistical mechanical model with the Lennard-Jones and Devonshire approximation is solved directly for the intermolecular potential between the guest molecules and the host molecules.
The reason is that their mission to provide quality medicine and health is solved directly for their jewelry.
In this paper a mechanical power balanced for the most important types of aeration is presented, which can be solved directly only for special cases.
The above set of equations cannot be solved directly without using concrete utility functions for the users.
For a problem that cannot be solved directly, a well-known approach is decomposing it into solvable subproblems.
For small instances, the models can be solved directly by a standard solver.
Large network design problems that arise in practice are unlikely to be solved directly as linear programs, so it is impossible to directly take for optimization.
On the other hand, for a fixed B, the minimum over C can be solved directly in terms of a matrix inversion.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com