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Some Aspects of Rashevsky's Theory of Delayed Reflexes

Published online by Cambridge University Press:  01 January 2025

A. S. Householder  and
E. Amelotti
A. S. Householder
Affiliation:
University of Chicago
E. Amelotti
Affiliation:
University of Chicago
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Abstract

A closed solution of the integral equation obtained by N. Rashevsky, with the assumption that the inhibitory influence between centers is a constant, i.e., independent of the distance apart, is obtained. Furthermore, a more general kernel, representing a variable inhibitory influence, which in our case is a monotonic (increasing or decreasing) function of the distance between centers, is introduced. The resulting integral equation is solved and some properties of the solution discussed.

Type
Original Paper
Information
Psychometrika , Volume 2 , Issue 4 , December 1937 , pp. 255 - 262
Copyright
Copyright © 1937 The Psychometric Society

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References

Rashevsky, N. Mathematical Biophysics and Psychology. Psychometrika, 1936, 1, 1–26.CrossRefGoogle Scholar
In fact if K is expressible as a sum of finite number of such products. See, e. g., Courant-Hilbert,Methoden der Mathematischen Physik, pp. 99–101, 1931 (Berlin).Google Scholar