The phrase "are demonstrated within" is correct and usable in written English.
It can be used when discussing where certain findings, results, or examples are shown or illustrated, typically in a report or academic context.
Example: "The key principles of the theory are demonstrated within the following case studies."
Alternatives: "are shown in" or "are illustrated in".
(d) Tissue carriers including different biomaterials are demonstrated within a 24 well culture plate.
These new principles, the means to practice them, and a comparison of theory verses measured behavior, are demonstrated within a case study.
Efficient curl curl inversions are demonstrated within a shift-and-invert Krylov-subspace eigensolver (open-sourced at [ofortt]https://github.com/bauerca/maxwell[cfortt]) on the spherical cavity and the 9-cell TESLA superconducting accelerator cavity.
However, imaging may suggest malignancy if solid pleural lesions are demonstrated within the effusion particularly at the lung base.
In addition, facet contact force in torsion of each motion segment at the INT model is between 121 to 130 N and the values are demonstrated within the range of earlier studies [ 25, 32] (Table 2).
The present three experiments show (a) that EC effects can be demonstrated within another sensory modality than visual perception and (b) that EC effects are demonstrable in a between-subject design (including a successful replication attempt).
Proof of concept was demonstrated within more than 400 h continuous testing.
The key enzyme in the biosynthesis of estradiol, aromatase, has been demonstrated within endometriosis.
Finally, the functionality is demonstrated within an experimental cell in a real-world production scenario.
Segregated task-specific activations were demonstrated within the ventrolateral frontal, mid-temporal and inferior parietal areas.
The system is demonstrated within the problem domain of a children's shape sorter puzzle.
