Cybernetics or Control and Communication in the Animal and the Machine, Reissue of the 1961 by Norbert Wiener

Author:Norbert Wiener [Wiener, Norbert]
Language: eng
Format: epub
Tags: Robotics, computer science; electrical engineering; game theory; feedback loop; Norbert Wiener; cybernetics; Mathematician; Prodigy; scientist; MIT; Massachusetts Institute of Technology; genius; biography; autobiography; education; Computing machines ; Harvard University; American Mathematical Society; Analysis; Atomic bomb; war; automation; Bell Telephone Laboratories; Cambridge University; Communication theory; Harmonic analysis; Nervous system and communication; Neurophysiology; Theory of Prediction; probability and statistics; Quantum mechanics; Claude Shannon; Alan Turing; stochastic control; adaptive control; system theory; cyborgs; information theory
Publisher: MIT Press
Published: 2019-09-13T00:00:00+00:00

(4.01)

By increasing the number of delays τk and suitably adjusting the coefficients ak, we may approximate as closely as we wish to an output of the form

(4.02)

In this expression, it is important to realize that the fact that we are integrating from 0 to ∞, and not from −∞ to ∞, is essential. Otherwise we could use various practical devices to operate on this result and to obtain f(t + σ), where σ is positive. This, however, involves the knowledge of the future of f(t); and f(t) may be a quantity, like the coordinates of a streetcar which may turn off one way or the other at a switch, which is not determined by its past. When a physical process seems to yield us an operator which converts f(t) to

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