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The use of the term arithmetic for number theory regained some ground in the second half of the 20th century, arguably in part due to French influence. [note 2] In particular, arithmetical is commonly preferred as an adjective to number-theoretic.
In number theory, given a positive integer n and an integer a coprime to n, the multiplicative order of a modulo n is the smallest positive integer k such that (). [ 1 ] In other words, the multiplicative order of a modulo n is the order of a in the multiplicative group of the units in the ring of the integers modulo n .
Part 1 of the standard, ISO 639-1 defines the two-letter codes, and Part 3 (2007), ISO 639-3, defines the three-letter codes, aiming to cover all known natural languages, largely superseding the ISO 639-2 three-letter code standard.
TANSTAAFL: a plan for a new economic world order by Pierre Dos Utt (1949). The earliest known occurrence of the full phrase (except for the "a"), in the form "There ain't no such thing as free lunch", appears as the punchline of a joke related in an article in the El Paso Herald-Post of June 27, 1938 (and other Scripps-Howard newspapers about the same time), entitled "Economics in Eight Words".
It Ends with Us is a 2024 American romantic drama film directed by Justin Baldoni from a screenplay by Christy Hall, based on the 2016 novel by Colleen Hoover.The film stars Blake Lively alongside Baldoni, Brandon Sklenar, Jenny Slate, and Hasan Minhaj.
Hence the rate of Hamming codes is R = k / n = 1 − r / (2 r − 1), which is the highest possible for codes with minimum distance of three (i.e., the minimal number of bit changes needed to go from any code word to any other code word is three) and block length 2 r − 1.
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