Sentence examples for complicated constraint from inspiring English sources
The key step is to simplify this complicated constraint condition.
By means of a dual transformation, we obtain a new free boundary problem with a linear equation under a complicated constraint condition.
In Section 3, a dual transformation converts the free boundary problem of a fully nonlinear PDE to a new free boundary problem of a linear equation but with the complicated constraint (3.16).
The motivations behind studying the problem are to devise optimization algorithms which have a wider range of application compared with the previous algorithms for smooth convex optimization (see, e.g., [1, 3, 5, 7]) and to tackle outstanding nonsmooth convex problems over complicated constraint sets (e.g., the minimal antenna-subset selection problem ([16], Section 17.4)).
Finally, in order to handle the complicated constraints with efficiency, new heuristic constraints handling methods and feasibility based selection strategy are embedded into the proposed CDE methods.
Though the computational cost of the decoder is added, it is known that this approach is powerful for problems having complicated constraints.
Whereas, in traditional scheduling, constraints among jobs are no more complex than those that can be represented by a precedence graph, in case of real-time scheduling, complicated constraints such as relative timing constraints are commonplace.
It is shown that explicit equilibrium relations of the form y = F (x) with more than two independent variables must obey complicated constraints on the higher-order derivatives of F, which are usually impractical to test.
The picture is further complicated by constraints such as specified drop-off and pick-up times for drivers or runway lengths and noise restrictions for aircraft.
In addition to this problem, our formulation includes complicated integer constraints to guarantee reliability.
It is very complicated with constraints involving transportation order and scarcity of spatial resources.
