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Here, is the entropy, and Shannon's source coding theorem says that any code must have an average length of at least . Hence we see that the Shannon–Fano code is always within one bit of the optimal expected word length.
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Current ISO 3166 country codes. The sortable table below contains the three sets of ISO 3166-1 country codes for each of its 249 countries, links to the ISO 3166-2 country subdivision codes, and the Internet country code top-level domains (ccTLD) which are based on the ISO 3166-1 alpha-2 standard with the few exceptions noted.
Lyndon word. In mathematics, in the areas of combinatorics and computer science, a Lyndon word is a nonempty string that is strictly smaller in lexicographic order than all of its rotations. Lyndon words are named after mathematician Roger Lyndon, who investigated them in 1954, calling them standard lexicographic sequences. [1] Anatoly Shirshov ...
This is a list of roots, suffixes, and prefixes used in medical terminology, their meanings, and their etymologies. Most of them are combining forms in Neo-Latin and hence international scientific vocabulary. There are a few general rules about how they combine. First, prefixes and suffixes, most of which are derived from ancient Greek or classical Latin, have a droppable vowel, usually -o ...
Non-malleable code. The notion of non-malleable codes was introduced in 2009 by Dziembowski, Pietrzak, and Wichs, [1] for relaxing the notion of error-correction and error-detection. Informally, a code is non-malleable if the message contained in a modified code-word is either the original message, or a completely unrelated value.
The purpose of channel coding theory is to find codes which transmit quickly, contain many valid code words and can correct or at least detect many errors. While not mutually exclusive, performance in these areas is a trade-off. So, different codes are optimal for different applications. The needed properties of this code mainly depend on the probability of errors happening during transmission ...
Urban Dictionary is a crowdsourced English-language online dictionary for slang words and phrases. The website was founded in 1999 by Aaron Peckham. Originally, Urban Dictionary was intended as a dictionary of slang or cultural words and phrases, not typically found in standard English dictionaries, but it is now used to define any word, event ...