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'representational powers' is correct and usable in written English.
This phrase is typically used to refer to the authority or ability of a governmental or other body to represent people or act on behalf of a particular group. For example, "The president has the representational powers to sign this agreement on behalf of the nation."
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In his early essay on Negative Quantities, he remarks "There is something great and I think, very correct in Leibniz's notion that the soul embraces the entire universe with its representational powers, although only an infinitely small part of this representation is clear……Outer things can carry the condition of their presentation, but not the force to bring themselves into existence for us.
It aims to offer a venue for reflecting on whether there is a positive role that accounting inscriptions play beyond a positivist belief in its representational powers and a constructivist approach that leads to the creation of powerful and dominating institutions such as 'accounting'accounting
Interest in the representational powers of mind goes back to the beginnings of Western philosophy (Caston 2003).
Notice that the same explanation cannot, however, be given for the representational powers our thoughts themselves have.
Yet Goodman can show how, next to artworks' representational powers we must recognize, as a central and pervasive form of symbolization in art, the capacity of artworks to call attention to some of their features, that is, to exemplify them.
We may then theorize that sophisticated intentionality belongs primarily to the cognitively representational powers of mind, also to the loving that uses these in referring to and acting toward its objects, but is ascribed to pleasure only derivatively through functionally appropriate causal connections by way of these.
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The figures in Bobb-Willis's photographs often allude to the representational power found in Lawrence's work, particularly "Migration Series," from 1941, his masterwork of sixty small gouache panels, completed when he was just twenty-three.
Unofficial results show that Democrats now control 32 of the 62 seats, with significant representational power for Westchester County, although four dissident Democratic senators from New York City raised the possibility that they might ally with the Republicans in a coalition majority.
In another, weaker version (Casati and Dokic 1994) it is the representational power of auditory content that is appealed to.
The main contribution of this work is a theory of credal networks that displays as much flexibility and representational power as the theory of standard Bayesian networks.
It seems he held that the mind essentially has a will, but that the intellectual (or perceptive, or representational) power is more basic, because the will depends on it in its operation.
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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