If [alpha] = id (the identity map), then a Hom-algebra (A, *, [alpha]) reduces to an ordinary algebra (A, *), the Hom-Jacobian [J.sub.[alpha]] is the ordinary Jacobian J, and the Hom-associator is the usual associator
for the algebra (A, *).
The output of the Associator
is shown in Figure 1b.
There is no simple relationship to our functional elements: In a simple feedback system the function of an associator
is carried out by just one comparator.
For the construction of the modified Linear Associator
, its learning phase is skipped and a matrix M representing the memory is built.
The knowledge that allows a person to translate heard sound sequences into articulatory sequences, and thereby mediates repetition of both real words and non-words, is contained in the network that connects the acoustic domain to the articulatory motor domain (the acoustic to articulatory motor pattern associator
, Figure 4, pathway 7-3).
Learning the Past Tense of English Verbs: The Symbolic Pattern Associator
versus Connectionist Models.
: carries out the first stage of the learning process, forming enduring associations among items of information in the system;
The 10 subsystems that process information only are the input transducer, the internal transducer, the channel and net, the decoder, the associator
, the memory, the decider, the encoder, the output transducer and the timer.
These nine primary subsystems include one dual subsystem (the boundary), one matter-energy-processing subsystem (the converter), and seven information-processing subsystems (the associator
, the decider, the input transducer, the internal transducer, the output transducer, the decoder, and the encoder).
These are input transducer, internal transducer, channel and net, decoder, associator
, memory, decider, encoder and output transducer.
These are: boundary, ingestor, distributor, converter, producer, storage, extruder, motor, supporter, timer, input transducer, internal transducer, output transducer, channel and net, decoder, associator
, memory, decider, encoder and reproducer.