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The Tonelli–Shanks algorithm (referred to by Shanks as the RESSOL algorithm) is used in modular arithmetic to solve for r in a congruence of the form r 2 ≡ n (mod p), where p is a prime: that is, to find a square root of n modulo p.
The table is clearly wrong: for example, the smallest primitive root mod 13 is 2, not 6; the smallest primitive root mod 17 is 3, not 10; the smallest primitive root mod 19 is 2, etc. The OEIS link does give correct values in those cases. The table is also unsourced, and hence the information about the indices is questionable, and given that ...
Hensel's original lemma concerns the relation between polynomial factorization over the integers and over the integers modulo a prime number p and its powers. It can be straightforwardly extended to the case where the integers are replaced by any commutative ring, and p is replaced by any maximal ideal (indeed, the maximal ideals of have the form , where p is a prime number).
Pages in category "Living root bridges" The following 4 pages are in this category, out of 4 total. This list may not reflect recent changes. J. Jembatan akar; L.
Roots: The Next Generations is an American television miniseries based on the last seven chapters of Alex Haley's 1976 novel Roots: The Saga of an American Family.First aired on ABC in February 1979, it is a sequel to the 1977 Roots miniseries, tracing the lives of Kunta Kinte's descendants in Henning, Tennessee, from 1882 to 1967.
Finding Your Roots with Henry Louis Gates, Jr. is a documentary television series hosted by Henry Louis Gates Jr. that premiered on March 25, 2012, on PBS. Ten seasons have been broadcast. Its tenth season premiered on January 2, 2024.
[89] [90] An illustrated guide to the game, called Getting Started with Dwarf Fortress: Learn to play the most complex video game ever made was released by technology publisher O'Reilly Media in 2012 written by Peter Tyson. Containing 240 pages, it has a foreword from Adams and is updated along with the game's development.
".hack//Roots" follows the tale of Haseo, a black 'Adept Rogue'(a class that can use multiple types of weapons) and member of the "Twilight Brigade", a small guild created within "The World R:2." In the year 2015, the CC Corporation's building burned down, and with it, most of the existing data for "The World." By splicing in data from what ...