Sentence examples for representations are realized from inspiring English sources
These representations are realized on L2-spaces of certain orbits in the Jordan algebra.
The connectionists (e.g., McCulloch & Pitts 1943, Rumelhart 1989, Rumelhart and McClelland 1986, Smolensky 1988) hold that mental representations are realized by patterns of activation in a network of simple processors ("nodes") and that mental processes consist of the spreading activation of such patterns.
The Borel Weil theorem is an important example in which representations are realized as holomorphic functions on a space related to the group.
The first set of representations is assembled by the default joint generator command JSET of UDEC, while the second set of discrete fracture network (DFN) representations is realized by a new code developed using UDEC's built-in programming language.
Chomsky's own work in Syntactic Structures (1957) went some way towards establishing the new cognitive paradigm for psychology by showing how internal processing could be theorized by describing transformations on representations in abstraction from the question of how those representations were realized.
Considering the directionality of brain interactions, the current results might indicate that successful activation of object representations is realized through reciprocal (feed-forward and feed-backward) information-transfer of oscillatory connections between distant, functionally specific brain areas.
In the literature, the kernel extension of sparse representation is realized in two ways.
The visual representation is realized as interactive data chart which allows user to interact with data and explore variables.
Representations of Banach Lie groups are realized on Hilbert spaces formed by sections of holomorphic homogeneous vector bundles.
On the other hand several natural representations have been realized using decimal numbers.
Only the realization of unique odd coefficients is shown; their even representation can be realized by additional left shifts.
