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The phrase "allowed to demonstrate that" is correct and usable in written English.
It can be used when discussing permissions or capabilities related to showing or proving something.
Example: "Students are allowed to demonstrate that they have mastered the material through various assessments."
Alternatives: "permitted to show that" or "authorized to prove that".
Exact(9)
The comparison of the transmittance data obtained after irradiation with different ion species in combination with the use of energy degraders of different thicknesses allowed to demonstrate that the optical defects created by swift heavy ions are essentially produced by elastic collisions and occur mainly at the end of the ion range region.
For each of the three sites included in the present study, the selection of three patient groups scanned in time windows separated approximately by 2 years, respectively, allowed to demonstrate that mean BSUV is reproducible within rather tight limits (distinctly better than 10%).
"But was he allowed to demonstrate that technique and talent?
Moreover, usage of an hairpin containing vector (pHBic-943) clearly showed the specificity of the IRES-dependant initiation and allowed to demonstrate that translation of the second cistron was not performed via a terminaison re-initiation mechanisms (Fig. 6B).
This allowed to demonstrate that the whole level of RARβ mRNAs observed in each sample is represented by the transcripts isoforms generated from the RAR-beta2 promoter.
In addition, they have allowed to demonstrate that the transgene is active after meiosis and give satisfactory results in the hemizygous state.
Similar(51)
Conditional multivariate analysis did not allow to demonstrate that endothelial dysfunction (i.e: RH-PAT) as well as inflammatory status (i.e: high levels of RANTES/low levels of ADIPONECTIN- MCP1) were independently associated with OHS.
A careful study of the electrochemical kinetics laws allowed us to demonstrate that, as long as both electrodes follow a Tafel behavior, the cathode and anode active layer resistances are strongly correlated.
Gene expression analyses then allowed us to demonstrate that genes extending out a further 9.1- or 5.6-Mb centromeric or telomeric of the deletion, respectively, are not affected by either the deletion or insertion of the transgene tandem array.
ArguLab [107] is a web front-end that allows to demonstrate the capabilities of PyAAL.
It allowed us to demonstrate that brands aren't built by spending millions on television advertising.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com