Alan Turing: his work and impact by S. Barry Cooper & Jan Van Leeuwen

Author:S. Barry Cooper & Jan Van Leeuwen
Language: eng
Format: epub
ISBN: 9780123870124
Publisher: Elsevier Inc.
Published: 2013-07-08T16:00:00+00:00

and the sets Fr are disjoint. It is clearly sufficient for we have only then to ensure that the signals initially fed in belong to one or other of the sets Fr, and it will remain in the set after any number of recirculations, without any danger of confusion. It is necessary for suppose S1 … SN are signals which have different meanings and which can be fed into the machine at any time and read out later without fear of confusion.

Let Er be the set of signals which could be obtained for sr by successive applications of f and shifts of distance not more than s. Then the sets Er are disjoint [two lines indecipherable—Ed.]. In the case of a mercury delay line used for N = 16 the set would consist of all continuous signals within the shaded area.

One of the sets would consist of all continuous signals lying in the region below. It would represent the signal 1001.

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