Sentence examples for an example to validate from inspiring English sources

An elliptical interface crack is analyzed as an example to validate the fundamental solutions and the proposed numerical method.

Next, we give an example to validate Theorem 3.1.

Now, we give an example to validate Theorem 3.1.

Now, we give an example to validate the main result as follows: Example 4.4 ([28]).

We provide an example to validate our best proximity point theorem.

Finally, a bus route in Suzhou China is taken as an example to validate the algorithm.

Finally, according to the comparison results, a design procedure is applied to an industrial example to validate its practicability.

Theoretical background of the configuration is discussed with a simplified analytical model, which is followed by a particle simulation for a practical example to validate the design strategy.

This work endeavors to propose a novel wear detection method for preventing the hardmetal moving parts from the accidents: (i) designed and optimized an attachment device for a conventional ball-on-disc tester; (ii) used a part-screw downhole motor made of cemented carbide as a typical example to validate the detection method; and (iii) offered solutions to wear issues.

Finally, we employ a numerical example to validate the effectiveness and feasibility of the STCG method.

Finally, in Section 4, we provide a numerical example to validate our results.