Sentence examples for a characterization of a solution from inspiring English sources

The following lemma gives a characterization of a solution of an equilibrium problem.

For this scenario, we provide a characterization of the solution space and an ordering on it.

For our main results, we give a characterization of the solution of (3.1) as follows.

Providing such conditions is known as an epistemic characterization of a solution concept.

In [16 19], optimality conditions and a characterization of solution sets of set-valued optimization problems involving generalized invexity are investigated.

In this section, we derive a characterization of the solutions of the VAFFP (Theorem 1 below) as constrained spanning arborescences of a directed acyclic graph (DAG) called the ancestry graph (Definition 4 below).

This is illustrated by the toy examples in Figures 1 and 2. Next, we provide a characterization of solutions to the MKL problem.

Using Theorem 3.2, we can re-establish the characterizations of a solution set of the problem given in [3]via its dual problem in Wolfe type.

Lastly, the fabrication and structural characterization of a mixed solution type heterostructure has been detailed.

We proved the characterization of a vector solution of the vector matrix game in [6].

On the other, the theorem considered in the Appendix, i.e. Makowski and Neustadt (1974, Theorem 12.1), presents a wide enough scope of applicability to allow for a complete characterization of the solution to the instrumental program in question.