Sentence examples for problem of example from inspiring English sources

To understand the basics of the theory of evidence and to establish a link with the aim of the present framework, let us position ourselves in the satellite or airborne optical image segmentation problem of Example 1.

However, one can reply that this argument amounts simply to a restatement of the Harsanyi Doctrine.[20] Schelling's Department Store problem of Example 1.5 is a very simple example in which the agents "solve" their coordination problem appropriately by establishing a convention.

The optimal solution of the lower level problem of Example 3.2 is y 1 ( x ) + y 2 ( x ) = x if 2 ≤ x ≤ 4, and y 1 ( x ) + y 2 ( x ) = 8 − x if 4 ≤ x ≤ 6, with y 2 ( x ) ≤ 0. However, only for x ∈ [ 2, 3 ] ∪ [ 5, 6 ] the upper level constraint y 1 + y 2 ≤ 3 holds, and therefore the feasible set is not connected, which is depicted in Figure 2.

The optimal solution of the lower level problem of Example 3.1 is y 1 ( x ) − y 2 ( x ) = 6 − 0.5 x if 2 ≤ x ≤ 4, and y 1 ( x ) − y 2 ( x ) = 8 − x if 4 ≤ x ≤ 6, with y 2 ( x ) ≥ 0. The global optimal solutions are found at the points D = { ( x, y ) ∈ R + × R 2 : x = 6, y 1 − y 2 = 2, y 2 ≥ 0 }, which are depicted by the thick line in Figure 1, with an optimal function value of 12.

Cracking the problem of, for example, methane-for-CO2 exchange requires knowledge of all the intermediate chemical stages.

Demonstration of L. intracellularis in faeces is therefore not necessarily related to a clinical problem of for example uneven growth in a group of pigs.

However, in most difficult problems the number of possible solutions grows exponentially with the size of the problem (for example, the number of solutions might double for every town added).

It provides a unified model of several classes of problems, for example, optimization problems, problems of Nash equilibrium, fixed point problems, variational inequalities, and complementarity problems.

National policy makers are aware of the underlying problems, for example: "placements of staff... favour urban areas at the expense of rural areas" [ 29].

It calls for old-fashioned values and common-sense solutions to the problems, for example, of illegal immigration and violence in schools.

Many results have been obtained on these kinds of problems, for example, [1 15].