Sentence examples for analytical example from inspiring English sources

Through an analytical example, it is proved that the derived sensitivity formula coincides with the analytic solution.

Optimization of bulkhead structures was carried out as analytical example.

A simple analytical example on a reinforced rectangular plate illustrates the simplicity of the method.

Analytical example is presented along with experimental case studies taken from machine tool industry.

A nonlinear analytical example and a heat transfer example are used to illustrate the effectiveness of the proposed approach.

One analytical example for a circular cylinder and one numerical example for a square rod are demonstrated to show the validity of the CHIEF method.

Analytical examples and experimental data illustrate the approach's efficacy.

Two analytical examples confirm the validity of the approach.

We have also considered simple analytical examples that verify these results and offer additional insights.

Analytical examples are provided for UPCA bar code symbols and a scanning beam with Gaussian distribution.

The proposed formulation is verified by analytical examples of simple spring bar systems.