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.

Associator: 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.