. Design for a brain. Brain -- Physiology; Central nervous system -- Mathematical models; Neurophysiology. STET-F UNCTIONS 7/8 omitted from a system, for its omission leaves the remainder still producing predictable behaviour. Systems containing step-functions 7/8. Suppose that we have a system with three variables, A, B, S ; that it has been tested and found absolute ; that A and B are full-functions ; and that S is a step-function. (Vari- ables A and B, as in S. 21/3, will be referred to as main variables.) The phase-space of this system will resemble that of Figure 7/8/1 (a possible field h
. Design for a brain. Brain -- Physiology; Central nervous system -- Mathematical models; Neurophysiology. STET-F UNCTIONS 7/8 omitted from a system, for its omission leaves the remainder still producing predictable behaviour. Systems containing step-functions 7/8. Suppose that we have a system with three variables, A, B, S ; that it has been tested and found absolute ; that A and B are full-functions ; and that S is a step-function. (Vari- ables A and B, as in S. 21/3, will be referred to as main variables.) The phase-space of this system will resemble that of Figure 7/8/1 (a possible field has been sketched in). The phase-space no longer fills all three dimensions, but as S can take only discrete values, here assumed for simplicity to be a pair, the phase-space is restricted to two planes normal to S, each plane corresponding to a particular value of S. A and B being full-functions, the represen- tative point will move on curves in each plane, describing a line of behaviour such as that drawn more heavily in the Figure. When. Figure 7/8/1 : Field of an absolute system of three variables, of which S is a step-function. The states from C to C are the critical states of the step-function. the line of behaviour meets the row of critical states at C—C, S jumps to its other value, and the representative point continues along the heavily marked line in the upper plane. In such a field the movement of the representative point is everywhere state- determined, for the number of lines from any point never exceeds one. If, still dealing with the same real c machine ', we ignore S, and repeatedly form the field of the system composed of A and B, S being free to take sometimes one value and sometimes the other, we shall find that we get sometimes a field like I in Figure 7/8/2, and sometimes a field like II, the one or the other appearing ac- cording to the value that S happens to have at the time. 87. Please note that these images are extracted from scanned page images that
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Keywords: ., bookcentury1900, bookpublishernewyorkwiley, booksubjectneurophys
