Sentence examples for solution is useful for from inspiring English sources

The closed-form solution is useful for stress-strain analyses and design of circular layered systems such as protective coatings and microelectromechanical components.

The present solution is useful for designing and simulating the heat extraction project of geothermal energy exploitation in a multi-well system.

The solution is useful for defining dangerous operating speed ranges and for quantifying the relationship between shaft torsional and blade bending natural frequencies.

The obtained solution is useful for an assessment by ultrasonic measurements of the interface stiffness in bonded structures for monitoring the interfacial microdamage growth due to mechanical loading and environmental factors.

Thirdly, the uniqueness of the solution is useful for many applications.

This solution is useful for planning DSL deployment, for example, helping operators to conveniently evaluate their network capabilities and better plan their usage.

Those results indicate that the tsunami prediction based on CMT solutions is useful for early warning, and the modeling of dispersion can significantly improve performance.

If more or even many alternative Petri nets are obtained, the implicit representation of solutions is useful for the design of experiments as it directly shows which parts of the underlying network are still ill-defined.

The obtained solutions are useful for decision makers to optimally allocate limited NRE resources over time for acquiring maximized benefit.

Since only positive solutions are useful for many applications, we investigate the existence and multiplicity of positive solutions for BVP (1.1 - 1.2 1.1 - 1.2paper.

Since only positive solutions are useful for many applications, motivated by the above works, the existence of positive solution is obtained by Guo-Krasnoselskii's fixed point theorem.