Sentence examples for case of constraint from inspiring English sources

Therefore, we consider the equality case of constraint (7).

In the case of constraint (15), the KKT conditions for necessary and sufficient optimality of the convex program (34) s.t.

In the case of constraint 98, students solving the easier problem 2 do not violate the constraint next time it is relevant.

Analogously, in the case of constraints (20), the optimal solution of problem (29) s.t.

However the formulation did not account for the case of constraints that could not be directly calculated from local and neighbourhood values.

In fact, as a consequence of hydrogenation and thermal cycles, the dense metallic tubes vary significantly in their length: in case of constraints between the membrane and the module, cyclic axial stresses are applied to the thin wall tube involving the rupture of the permeator.

Moreover, even if there is such a distinction, relativizing "good" to agents is not sufficient to deal with all intuitive cases of constraints, because common sense allows that you ought not to murder, even in order to prevent yourself from murdering twice in the future.

end{aligned} Using a similar approach in the objective function, we can derive that the worst-case of constraints in (RECP) can be rewritten as max_{ tilde{a}_{k},tilde{b}_{k})in U_{k}}tilde{a}^{T}_{k}x+ tilde{b}_{k}= a_{k}^{0T}x+b_{k}^{0}+ Vert A_{k}x+B_{k}Vert _{2}leq epsilon _{k},quad forall kin {1,2,ldots,m}backslash {t}.

The case of hard constraint can be derived in a similar manner.

In the case of nonlinear constraint sets, orthogonal projections may demand a great amount of work of solving a nonlinear optimization problem to minimize the distance between the point and the constraint set.

In the case of axial constraint at both ends of the exhaust stack, the original design was found incapable of withstanding the thermal loading experienced during operation of the gas turbine, leading to instability of the structure.