Sentence examples for a dual problem from inspiring English sources

This has lead to a dual problem of duplicated efforts and widening participation 'blind spots', mainly in rural areas with limited access to large, urban universities.

Davey faces a dual problem: he has to boost overall numbers of listeners from an average of around 2 million a week, and break down the "silos" of listenership, with many of the core classical brigade reluctant to buy into more challenging parts of the schedule.

Rather, he wants us to engage with a dual problem of aesthetics and faith: a problem which came to a head in the dispute among eighth- and ninth-century Christians known as the iconoclastic controversy, but which can be readily generalised.Gustave Courbet, a great 19th-century French realist, said he never painted angels because he had never seen any.

Bigi et al. [2] studied a dual problem associated with the problem (1.1) with.

This results in (varphi(x) nleqslantlambda), that is, (DI) is a dual problem to (P).

The following two theorems show that (DIII) is a dual problem for (P).

Since we are in a non-compliant case, a further dual problem has to be solved in order to obtain better output evaluations and related error bounds, see Section 7.1.

The first thing we will do is finding a formal dual problem, by means of an inf-sup exchange.

Though this is originally a nonlinear optimization problem, the problem can be reformulated as a Lagrangian dual problem.

We formulate a symmetric dual problem for the nonlinear vector optimization problem and establish equivalent relations between the symmetric dual problem and the corresponding vector matrix game.

Then, we have introduced a Lagrange dual problem and got some duality results in terms of tightly properly efficient solutions.