1948/10/01 by C. E. Shannon, Claude E. Shannon · 17 citations
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Gene Regulatory Network Analysis #Opinion Dynamics and Social Influence #stochastic dynamics and bifurcation
paper · doi:10.1002/j.1538-7305.1948.tb00917.x
crossref issued 1948/10/01 · crossref published 1948/10/01 · crossref published-print 1948/10/01 · openalex publication_date 1948/10/01 · crossref published-online 2013/07/29 · crossref created 2013/07/29 · crossref deposited 2020/10/14 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/01
In this final installment of the paper we consider the case where the signals or the messages or both are continuously variable, in contrast with the discrete nature assumed until now. To a considerable extent the continuous case can be obtained through a limiting process from the discrete case by dividing the continuum of messages and signals into a large but finite number of small regions and calculating the various parameters involved on a discrete basis. As the size of the regions is decreased these parameters in general approach as limits the proper values for the continuous case. There are, however, a few new effects that appear and also a general change of emphasis in the direction of specialization of the general results to particular cases.