Sentence examples for examples for demonstrating from inspiring English sources

We next give four kinds of examples for demonstrating that the resulting procedure can provide with tridiagonal matrices with multiple eigenvalues.

Several linear and nonlinear MDOF structural systems with singular matrices are considered as numerical examples for demonstrating the validity and applicability of the developed frequency domain methodology.

The property of uniformly ultimately boundedness is guaranteed when solving the chaotic synchronization problems, and two numerical examples for demonstrating the advantages and feasibility of the proposed method are also given.

Figure 9 shows one example for demonstrating the superior performance of the combined strategies.

Finally, we give a numerical example for demonstrating the efficiency of the theoretical results.

Furthermore, frankincense study was taken as an example for demonstrating standards and research process, based on the "iVarious" system.

A building structure comprising the versatile Bouc-Wen (hysteretic) model serves as a numerical example for demonstrating the efficiency of the proposed methodology.

Finally, a cantilevered beam design problem with constrained conditions is used as a practical structural optimization example for demonstrating the very good performance of the proposed method.

Photostimulated decomposition and oxidation of some ecologically significant volatile organic compounds (VOCs) on surfaces of natural aerosol constituents are taken as an example for demonstrating the importance of these processes as the tropospheric sink of organic pollutants.

We use the Kimura's two-parameter (K2P) model [ 5] as a concrete example for demonstrating our approach.

These results are not intended to be particularly realistic but serve as a useful illustrative example for demonstrating equivalences between various models.