The phrase "as demonstrated in the examples" is correct and usable in written English.
You can use it when referring to specific instances or illustrations that support a point or argument you are making.
Example: "The effectiveness of this method is clear, as demonstrated in the examples provided earlier in the report."
Alternatives: "as shown in the examples" or "as illustrated in the examples".
The algorithm performs these tasks with exceptional precision, as demonstrated in the examples presented here.
High mass accuracy significantly improves the reliability of identification as demonstrated in the examples above.
As demonstrated in the examples above, this results in an iterative spiral, in which mismatch between model prediction and experimental validation identifies directions for subsequent development.
As demonstrated in the examples above, this tool allows investigation of a broad range of biological questions at scales ranging from individual proteins to groups of proteins transferred en bloc to the entire proteome.
Lack of privacy, being under constant supervision and all wants and/or needs e.g. ground leave, had to be negotiated with staff as demonstrated in the examples that follow.
As demonstrated in the example of the Yuyuan garden, the method is effective for analysing and visualising spatial properties beyond the surface level of forms and shapes.
As demonstrated in the example given in Table 2, each case generated several contributory factors which were categorised as organisational/management, personnel, technology and so on.
The computational overhead associated with these specific coupling features is virtually negligible, as demonstrated in the example of a fictitious system called Daisyworld.
As demonstrated in the example above, one can also combine results from single marker and multimarker analysis of the same markers.
These mentions can be used to support large-scale curation and pathway-related systems biology applications, as demonstrated in the example of Alzheimer's disease.
