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While the algebra A generated by the Fi-system is non-abelian, and goes under the name "Cuntz algebra" in C∗-algebra theory, each of its representations contains a canonical maximal abelian subalgebra, i.e., the subalgebra is some C X) for a Gelfand space X.
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However, it has not been possible to directly test representational learning algorithms directly against the representations contained in neural systems.
According to one prominent model33, hippocampal representations contain high levels of contextual detail, whereas cortical representations are more schematic in nature and contain fewer contextual details.
A determination that a patent is eligible for extension may be made by the Director solely on the basis of the representations contained in the application for the extension.
However, very often such binary biometric representations contained in cancelable biometrics have security shortfalls, because once they are compromised, the biometric features that they represent are likely to be retrieved.
We discuss other concrete computations in a follow-up paper, including proving that our dimension agrees with von Neumann dimension for representations contained in a multiple of the left-regular representation.
Time does not permit an independent examination of the facts set out in the proxy material and this results in the Commission's acceptance of the representations contained therein at their face value, unless contrary to other material on file with it.' Id., at 432, 84 S.Ct., at 1560.
All our solution representations contain activity lists as a substantial element.
Disk representations contained within a square boundary, representing the outer photodetector PMTs, also colored by charge of time data and scaled by charge data.
For the basis β m = { 1, x, x 2, …, x m }, our matrix representations contain Bernoulli polynomials and Euler polynomials for the operators T χ a, 1 and T χ a, 2, respectively.
It is speculated that this is due to the fact that the representations contain a very small number of features, making it difficult to tell them apart, and hence, it needs more neighbors to calculate the rating prediction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com