# Shannon theorem

From Encyclopedia of Mathematics

2010 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).

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#### 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