Sentence examples for by the problems considered from inspiring English sources

This article is motivated by the problems considered by the authors in [1 7].

The problem considered by Lewis is very similar than the one we are considering here.

This gives a 32-approximation algorithm for the problem considered by Rajagopalan and Vazirani.

Second, the basic problems considered by both methods are different, although the final aim is the same, namely strain improvement.

If (F_{2}=0) and (varphi_{2}=0), the split generalized equilibrium problem reduces to the equilibrium problem considered by Cianciaruso et al. [11].

Obviously, (4.1) is a generalization of the BVP problem considered by [26, Section 3], and the theorems of [26] are not able to solve it.

If h2=0 and F2=0, then SGEP (5 - 6) reduces to the equilibrium problem considered by Cianciaruso et al. [13].

The new method exploits possibilities to simplify the mathematical model determined by the particular considered problem and system.

The problem was considered by earlier investigators and can be traced back to Johannes Kepler, who, in 1610, advanced it as an argument against the notion of a limitless universe containing an infinite number of stars.

The dimensionality of the problem is considered by increasing the number of generators from 10too 100 units and corresponding simulation results are evaluated and compared.

Hence, it is convenient to formulate the problem by considering only paths with exactly N connections by allowing also self-connections in node i with associated cost c ii = 0.