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FIGURE 2. Hybrid network (a) and action network (b).
=
[
]
Reee
3
,, .
1
3
5
Since the concepts of action field and receptor field will play an impor-
tant role in the discussion of physiological nerve nets, it may be appropri-
ate to note some special cases. Consider a network of
n
elements. Under
certain circumstances it may be possible to divide these elements into three
non-empty classes. One class,
N
1
, consists of all elements whose receptor
field is empty; the second class,
N
2
, consists of all elements whose action
field is empty; and the third class,
C
, consists of all elements for which
neither the action field nor the receptor field is empty. A net for which these
three classes are non-empty we shall call a “hybrid net”. A net which is com-
posed entirely of elements of the third class
C
we shall call an “interaction
net”. The net in fig. 1 represents such an interaction net. Finally we define
an “action net” which does not possess an element that belongs to class
C
.
Examples of a hybrid net and an action net are given in figs. 2a and 2b with
their associated connection matrices.
In the net of fig. 2a:
Nee
Nee
Ceee
=
[
, ,
, ,
,, .
]
1
3
6
=
[
]
2
4
7
=
[
]
125
In the net of fig. 2b:
=
[
]
Neee
N
,, ,
,,, ,
.
1
2
3
5
=
[
]
eeee
2
1
4
6
7
=
[]
C
0
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