We consider the following AGVQEP as follows: find (widehat{x}in K) such that widehat{x}in H widehat{x}) quad mbox{and}quad psi widehat{x},y) nsubseteq C( widehat{x}),quad forall yin H widehat{x}).
The alternative objective formulation is as follows: Find a multi-set label assignment g: E → 2(L ) that satisfies the following constraints: (i) g out (a) = 〈 L, μ〉, where μ(i) = | T i | for every i ∈ L.
The paper deals with the laminated plate design problem formulated as follows: Find all designs giving the plate the required mechanical properties.
O'Keefe's formula for pinpointing averageness is as follows: find statistics that reflect majority preferences and apply them to a given population, winnowing the pool until only one candidate remains — a perfect match.
The first stage of this work consists of assembly optimization, which is formulated as follows: find the distribution of channel radii and angle that minimizes total viscous dissipation (or pumping power, pressure drop) under the constraints of fixed total volume of channels and tube material consumed.
The optimization problem is formulated as follows: find the distribution of channel radii that minimizes total viscous dissipation (or entropy production, pumping power, pressure drop) under constraints of uniform irrigation and of total volume of channels (or of average residence time) and the assumption that the flow is split equally between branches at each junction.
For the sake of simplicity, we rewrite the problem (3.9) as follows: find such that (3.14).
In this section, we consider the variational inequality problem which is presented as follows: Find x ∗ ∈ C such that.
Consider the equilibrium problem as follows: Find x ̄ ∈ C such that f ( J ( x ̄ ), J ( y ) ) ≥ 0, ∀ y ∈ C. (1.1).
The equilibrium problem is defined as follows, Find x ̃ ∈ H such that G x, y ≥ 0 for all y ∈ H.
The equilibrium problem for g is as follows: Find x ̄ ∈ Ω such that g ( x ̄, y ) ≥ 0, ∀ y ∈ Ω.
