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Difference between revisions of "Shannon theorem"

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A theorem establishing conditions under which it is possible or impossible to transmit information generated by a given source of information (cf. [[Information, source of|Information, source of]]) through a given [[Communication channel|communication channel]] and within specified limits of accuracy of reproducibility of the information (see [[Information, exactness of reproducibility of|Information, exactness of reproducibility of]]). There exist different formulations of Shannon's theorem (see [[Information, transmission of|Information, transmission of]] and the references – to that article).
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A theorem establishing conditions under which it is possible or impossible to transmit information generated by a given source of information (cf. [[Information, source of]]) through a given [[communication channel]] and within specified limits of accuracy of reproducibility of the information (see [[Information, exactness of reproducibility of]]). There exist different formulations of Shannon's theorem (see [[Information, transmission of]] and the references – to that article).
  
  
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<TR><TD valign="top">[a1]</TD> <TD valign="top">  A. Rényi,  "A diary on information theory" , Akad. Kiado &amp; Wiley  (1987) {{ZBL|0657.94001}}</TD></TR>
 
<TR><TD valign="top">[a1]</TD> <TD valign="top">  A. Rényi,  "A diary on information theory" , Akad. Kiado &amp; Wiley  (1987) {{ZBL|0657.94001}}</TD></TR>
 
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Latest revision as of 19:15, 20 December 2015

2020 Mathematics Subject Classification: Primary: 94A05 [MSN][ZBL]

A theorem establishing conditions under which it is possible or impossible to transmit information generated by a given source of information (cf. Information, source of) through a given communication channel and within specified limits of accuracy of reproducibility of the information (see Information, exactness of reproducibility of). There exist different formulations of Shannon's theorem (see Information, transmission of and the references – to that article).


Comments

References

[a1] A. Rényi, "A diary on information theory" , Akad. Kiado & Wiley (1987) Zbl 0657.94001
How to Cite This Entry:
Shannon theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Shannon_theorem&oldid=37032
This article was adapted from an original article by R.L. DobrushinV.V. Prelov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article
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