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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.

Information

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