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In mathematics, the Askey–Wilson polynomials (or q-Wilson polynomials) are a family of orthogonal polynomials introduced by Richard Askey and James A. Wilson as q-analogs of the Wilson polynomials. [1] They include many of the other orthogonal polynomials in 1 variable as special or limiting cases, described in the Askey scheme.
It was not clear in the 1970s whether the monster actually existed. Griess [3] constructed M as the automorphism group of the Griess algebra, a 196,883-dimensional commutative nonassociative algebra over the real numbers; he first announced his construction in Ann Arbor on January 14, 1980. In his 1982 paper, he referred to the monster as the ...
In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers less than ...
This six-pack of clear storage tote tubs is just about the most useful organizer item you can buy. Use them to store Christmas ornaments, garlands, lights, decorations and much, much more.
Because the set of primes is a computably enumerable set, by Matiyasevich's theorem, it can be obtained from a system of Diophantine equations. Jones et al. (1976) found an explicit set of 14 Diophantine equations in 26 variables, such that a given number k + 2 is prime if and only if that system has a solution in nonnegative integers: [7]
PHOTO: One person was injured when a holiday drone show in Orlando on Dec. 21, 2024, went haywire and several of the unmanned aerial devices crashed into each other and plummeted to the ground ...
Lainey Wilson got an emotional surprise after her performance on The Voice finale!On Tuesday, the country star took the stage to perform "Hang Tight Honey" during night two of the season 25 finals ...
Over a field, the free algebra on n indeterminates can be constructed as the tensor algebra on an n-dimensional vector space. For a more general coefficient ring, the same construction works if we take the free module on n generators. The construction of the free algebra on E is functorial in nature and satisfies an appropriate universal property.
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