The phrase "analysis of the example" is correct and usable in written English.
You can use it when discussing or examining a specific instance or case to draw conclusions or insights.
Example: "In the analysis of the example provided, we can see the key factors that contributed to the outcome."
Alternatives: "examination of the example" or "evaluation of the example."
By the analysis of the example this model can reveal chaotic stochastic behaviour.
The results and analysis of the example of China offer practical insights on the impact of trade-offs between cost and transit time, and the effect of different carbon emission restrictions on intermodal network design.
This problem is addressed in the analysis of the example in the Results section.
Our analysis of the example yeast network shows that each degree of freedom controls a local sub-networks of fluxes.
One possibility to solve this problem is to modify the data slightly (see the analysis of the example in the Results section).
In the analysis of the example data set, we investigate different genetic models for multi-environment data with a factor analytic variance structure.
We demonstrated the application of global analysis on the example of a two-state model of di-4-ANEPPDHQ fluorescence decay in the cellular membrane (Fig. 2d).
Thus, the analysis of this example may be a further indication that the choice τ = 0.5 is reasonable.
This can be avoided by instead using the smooth version (8)–(9) but then the analysis of this example becomes much more involved.
The ecological context of the spatial landscape model is described as is a simple sensitivity analysis of the model and an example of its use under 'baseline' conditions.
Finally, some results of the stability analysis of the simple example and an eleven degree of freedom three-bladed model are presented together with a set of measured and predicted blade loads for a 250 kW wind turbine.
