Let π0 be a fixed irreducible representation of a C*algebra A and π = ∫⊕Z π0dμ a direct integral of representations of A, each of which is a copy of π0.
In practice, we use a fixed point representation for the signed distance function, which bounds the values to lie between and as shown in the figure.
The effect of a fixed point representation of both E and D has been assumed negligible.
In order to represent a color image as a fixed histogram representation, the RGB color space was uniformly partitioned into color bins.
Overall, the independent encoding of the spatial and temporal features of movement sequences in premotor areas endows the nervous system with the ability for adjustments of individual movement parameters which would not be possible with a fixed integrated representation such as in M1 alone.
As shown by the numerical tests, it accurately predicts the stress fields of thick laminated and sandwich shells with abruptly changing material properties with a lower overall processing time than for the fixed representation, since post-processing is unnecessary.
Although nowadays powerful semantic web toolkits exist, these frameworks are still hard to apply for designing applications, since they often focus on fixed representation structures and languages.
It is known that a fixed-point representation can effectively save computational resources and is more convenient for direct realization on hardware.
