Sentence examples for the solution is useful from inspiring English sources

The solution is useful to the understanding and design of composite piezoelectric devices.

The solution is useful to solve data classification, clustering, and dimensionality reduction problems.

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

The solution is useful in describing linear electrooptic effect for a light wave propagating along an arbitrary direction with an external dc electric field along any direction in any crystal.

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

The application of the semianalytical solution is useful not only in PSA process design, analysis and optimization, but also in adsorbent development and initial cost estimation.

Examples demonstrate that knowledge of the dispersion present in the numerical solution is useful in designing efficient and accurate finite element meshes.

The core solution is useful, where the negotiation process is centralized and no subset of players can selfishly and privately negotiate with each other.

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

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.

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