from which we infer that the 3-product is defined by the associator
We define the Hom-Jordan associator
of a given Hom-algebra and point out that every Hom-algebra is a Hom-triple system with respect to the Hom-Jordan associator
Liu, "A Jordan algebra and dynamic system with associator
as vector field," International Journal of Non-Linear Mechanics, vol.
operator (a) generates, for each tuple of the relation R, all their possible subsets (itemsets) of different size.
Likewise, each laureate's discovery description of information processes could be mapped onto input, internal and output transducer subsystems, as well as decoder, transducer, channel and net, timer, associator
, memory, decider, and encoder subsystems, at the cellular, organ or organism levels.
Both regular and irregular forms are inflected using a pattern associator
and no separate default process is assumed to exist to deal with regular or novel forms.
([x.sub.1], [x.sub.2], [x.sub.3]) = -([x.sub.3], [x.sub.2], [x.sub.1]) where (,,) is the associator
) algebras but with generating operation of degree 0 and we are not sure that the Koszulity of J [ord.sub.3] is satisfied.
(1) Most important point is that there is no direct equivalent to Miller's associator
Recall that the Linear Associator
has perfect recall when it works with orthonormal vectors.
For example, understanding the meaning of a word that is heard is achieved through the connections between the domain that contains the sound features of language and the domain that contains concept features (the acoustic to concepts representations pattern associator
, Figure 4, pathway 6-5).
Closing with a Disparity between a True Patriot, and a Factious Associator
As an example, Ling (1994) implemented a series of head-to-head comparisons between his symbolic pattern associator
(SPA) and feed-forward connectionist models in terms of generalization abilities on learning the past tense of English verbs.