Sentence examples for example and numerically from inspiring English sources

We apply these methods on a military example and numerically compare the results of the different approaches.

The results obtained on standard test examples are compared and numerically assessed against the reference results from literature using various mesh densities and various order of interpolation.

In addition to arguing our point of view in general, we work out a few explicit examples, both analytically and numerically.

Finally, three examples have been solved analytically and numerically, including an engineering example of the steep rock slope of a shiplock system for the Three Gorges hydroelectric power project in China.

First, in the ubiquitous and numerically demanding example of nonlinear interaction of particles with a propagating plane wave, second, in the case of particle motion in a static magnetic field and, third, in a nonlinear dissipative case leading to a limit cycle.

The result of an application to a particular example has been discussed graphically and numerically.

Taking a 10-bar truss as an example, the proposed method is theoretically elaborated and numerically exemplified.

Tracer lathes and numerically controlled machine tools are examples of machines that use varying degrees of automatic and semi-automatic control.

Many examples of optimal correlation matrices are given, both analytically and numerically.

Finally, the proposed methodology is applied to and numerically verified by a large-scale network example.

As an example, we numerically investigated the necessary refractive index n and extinction coefficient k and the relative permittivity ε and permeability μ of a metamaterial anti-reflection layer, which could cancel the reflection from a hydrogenated amorphous silicon (α-Si H) thin film on a metal substrate, within the visible wavelength range from 300 to 800 nm.