Sentence examples for the given problems from inspiring English sources

Many of the solutions contain extensions/variations of the given problems.

In addition, two formulations for calculating the Hessian are proposed and implemented for the given problems.

A multi-agent framework is proposed, wherein distributed theorem proving is achieved by the collaboration of multi-agents each of which performs part of the hyper-linking strategy for completing the proof of the given problems.

Sufficient conditions are formulated for the existence and uniqueness of solutions of the given problems.

6, the results of the given problems have been discussed here.

Large-scale problems are done by the given problems, which shows that the new algorithms are very effective.

Two meta-heuristic algorithms are developed for the given problem.

The given problem is solved on the superposition of two auxiliary problems under different boundary conditions.

It is used to obtain the Birkhoff normal form of the Hamiltonian in the given problem.

In order to address the given problem, a reliability assessment platform is proposed in this paper.

In order to solve the given problem, two genetic algorithm (GA) approaches are developed.