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Capacity of the two-way channel: The capacity of the two-way channel (a channel in which information is sent in both directions simultaneously) is unknown. [ 5 ] [ 6 ] Capacity of Aloha : The ALOHAnet used a very simple access scheme for which the capacity is still unknown, though it is known in a few special cases.
In this context, either an information-theoretical measure, such as functional clusters (Gerald Edelman and Giulio Tononi's functional clustering model and dynamic core hypothesis (DCH) [47]) or effective information (Tononi's integrated information theory (IIT) of consciousness [48] [49] [50]), is defined (on the basis of a reentrant process ...
The main difference between Russell's and Zermelo's solution to the paradox is that Zermelo modified the axioms of set theory while maintaining a standard logical language, while Russell modified the logical language itself. The language of ZFC, with the help of Thoralf Skolem, turned out to be that of first-order logic. [4]
This is a list of information theory topics. A Mathematical Theory of Communication; algorithmic information theory; arithmetic coding; channel capacity;
If one considers the text of every book ever published as a sequence, with each symbol being the text of a complete book, and if there are N published books, and each book is only published once, the estimate of the probability of each book is 1/N, and the entropy (in bits) is −log 2 (1/N) = log 2 (N).
In information theory, the typical set is a set of sequences whose probability is close to two raised to the negative power of the entropy of their source distribution. That this set has total probability close to one is a consequence of the asymptotic equipartition property (AEP) which is a kind of law of large numbers .
Articles relating to information theory, which studies the quantification, storage, and communication of information. Subcategories. This category has the following ...
Skolem–Mahler–Lech theorem (number theory) Solutions to Pell's equation (number theory) Sophie Germain's theorem (number theory) Sphere packing theorems in dimensions 8 and 24 (geometry, modular forms) Stark–Heegner theorem (number theory) Subspace theorem (Diophantine approximation) Sylvester's theorem (number theory)