Sentence examples for by using numerical examples from inspiring English sources

Moreover, the performance characteristic curves of the three heat engines are presented by using numerical examples.

The effectiveness of the proposed method is demonstrated by using numerical examples as well as experimental evaluation on a computer-interfaced pilot plant.

The effectiveness of the two proposed controls is assessed with respect to the performances of the equivalent centralized control using numerical examples composed by the IEEE 13 and IEEE 123 buses distribution test feeders adapted to include stochastic generation and DESSs.

The improvements realized by the proposed model-based ETMs will be demonstrated using numerical examples.

Therefore, the second example is about the flip bifurcation of model (2), which is only obtained by using numerical simulations.

The simulations were implemented in R (version: 2.10.1, refer to "Additional file 1: Example of R - code for simulations" for an example of the code) and the numerical errors inherent in any computational program were neglected (for example, the error (uncertainty) which is added by using numerical integration in calculating the AAFs was not taken into consideration for our variance calculations).

2. To depict only by using numerical values that appear in a calculation process.

The above observations will be further verified by using the numerical examples in the next section.

The applicability of the proposed method is illustrated by using some numerical examples.

The accuracy of this formulation is demonstrated by using several numerical examples for the cases of small and large displacements.

The proposed method is validated by using a numerical example.