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The application of the photo-thermal source (laser) to the upper surface of the laminate is formulated as equivalent stresses applied at the illuminated boundary.
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These were formulated as concretely as possible.
ICON is formulated as Eq. 3.
Stochastic user equilibrium assignment is formulated as an equivalent minimisation problem and solved by way of the Path Flow Estimator (PFE).
At the lower level problem, the user equilibrium flow is determined by Wardrop's first principle and can be formulated as an equivalent minimization problem.
On the basis of an in-depth analysis of the demand and supply sides of the bimodal transportation system, the mode choice equilibrium of travelers along the continuum corridor is first presented and formulated as an equivalent variational inequality problem.
In later analyses, notably in Bell's argument for the nonlocality of quantum correlations, it became apparent that these conditions, suitably formulated as probability constraints, are equivalent to the requirement that statistical correlations between separated systems should be reducible to probability distributions over common causes (deterministic or stochastic) in the sense of Reichenbach.
As far as senses of optimality are specified and formulated as objective functions, reduction is then equivalent to solving an integer programming problem with one and/or multiple objective functions [22].
This approach considers a computational optimization-based procedure for the switching surface design, formulated as an interval goal programming problem, equivalent to the interval Ackermann׳s equation for the robust eigenvalue placement problem.
This model is formulated as a fuzzy-MOLP and subsequently converted into an equivalent compromise-MOLP model.
Then, another design objective based on optimization of a laminate for the worst possible load case emerges which is formulated as a minimax problem whose solution is shown to be equivalent to singular value minimization problem.
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CEO of Professional Science Editing for Scientists @ prosciediting.com