Sentence examples for analytical findings from inspiring English sources

In particular, we study the structured networks as they are analytically tractable, provide some valuable insights, and can be used to validate our analytical findings.

Analytical findings are confirmed by numerical simulations.

These analytical findings are subsequently supported by various examples.

The analytical findings are validated by numerical analysis.

Numerical examples are provided to illustrate the analytical findings.

The analytical findings were consistent with the delamination extent quantitatively measured by ultrasonic inspection.

Few selected graphs of stress variation along the radial direction illustrate the analytical findings.

The analytical findings also serve as a benchmark for approximate methods applied to gyroscopic continua.

Our analytical findings are verified through numerical results and computer simulations.

Results achieved confirm both the viability of our proposal and the analytical findings.

These analytical findings will likely prove useful when designing ecological habitats and preventing riverbed erosion.