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Qué (quién) es Shannon's theorem - definición

LIMIT ON DATA TRANSFER RATE

Shannon limit; Shannon Limit; Shannon's Theorem; Shannon's theorem; Fundamental theorem of information theory; Noisy channel; Shannon theorem; Noisy channel coding theorem; Shannon s theorem; Shannon's noisy channel theorem; Shannon's noisy coding theorem; Channel coding theorem; Shannon's second theorem

Noisy-channel coding theorem

In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise contamination of a communication channel, it is possible to communicate discrete data (digital information) nearly error-free up to a computable maximum rate through the channel. This result was presented by Claude Shannon in 1948 and was based in part on earlier work and ideas of Harry Nyquist and Ralph Hartley.

https://en.wikipedia.org/wiki/Noisy-channel_coding_theorem

Shannon's source coding theorem

DATA COMPRESSION THEORY

Shannon's noiseless coding theorem; Source coding theorem; Source Coding Theorem; Shannon's source coding Theorem; Shannon's source coding theorems; Shannon noiseless coding theorem; Shannon's first theorem

In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the limits to possible data compression, and the operational meaning of the Shannon entropy.

https://en.wikipedia.org/wiki/Shannon's_source_coding_theorem

Boole's expansion theorem

THEOREM IN BOOLEAN ALGEBRA

Shannon's expansion theorem; Shannon cofactor; Shannon's Expansion Theorem; Shannon expansion; Shannon decomposition; Shannon's expansion; Fundamental theorem of Boolean algebra; Boole's expansion; Boole expansion; Boole–Shannon expansion; Boole-Shannon expansion

Boole's expansion theorem, often referred to as the Shannon expansion or decomposition, is the identity: F = x \cdot F_x + x' \cdot F_{x'}, where F is any Boolean function, x is a variable, x' is the complement of x, and F_xand F_{x'} are F with the argument x set equal to 1 and to 0 respectively.

https://en.wikipedia.org/wiki/Boole's_expansion_theorem

Wikipedia

Noisy-channel coding theorem

In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise contamination of a communication channel, it is possible to communicate discrete data (digital information) nearly error-free up to a computable maximum rate through the channel. This result was presented by Claude Shannon in 1948 and was based in part on earlier work and ideas of Harry Nyquist and Ralph Hartley.

The Shannon limit or Shannon capacity of a communication channel refers to the maximum rate of error-free data that can theoretically be transferred over the channel if the link is subject to random data transmission errors, for a particular noise level. It was first described by Shannon (1948), and shortly after published in a book by Shannon and Warren Weaver entitled The Mathematical Theory of Communication (1949). This founded the modern discipline of information theory.

https://en.wikipedia.org/wiki/Noisy-channel coding theorem