منابع مشابه
Spectral Quadruples
A set of data supposed to give possible axioms for spacetimes. It is hoped that such a proposal can serve to become a testing ground on the way to a general formulation. At the moment, the axioms are known to be sufficient for cases with a sufficient number of symmetries, in particular for 1+1 de Sitter spacetime. A major shortcoming of applications of noncommutative geometry to high energy phy...
متن کاملAdjugates of Diophantine Quadruples
Philip Gibbs Diophantine m-tuples with property D(n), for n an integer, are sets of m positive integers such that the product of any two of them plus n is a square. Triples and quadruples with this property can be classed as regular or irregular according to whether they satisfy certain polynomial identities. Given any such m-tuple, a symmetric integer matrix can be formed with the elements of ...
متن کاملTribonacci Diophantine Quadruples
In this paper, we show that there does not exist a quadruple of positive integers a1 < a2 < a3 < a4 such that aiaj + 1 (i 6= j) are all members of the Tribonacci sequence (Tn)n≥0.
متن کامل2-Bases of Quadruples
Let B(n, ≤ 4) denote the subsets of [n] := {1, 2,. .. , n} of at most 4 elements. Suppose that F is a set system with the property that every member of B can be written as a union of (at most) two members of F. (Then F is called a 2-base of B.) Here we answer a question of Erd˝ os proving that |F | ≥ 1 + n + n 2 − 4 3 n, and this bound is best possible for n ≥ 8.
متن کاملThe number of D(−1)-quadruples
In this paper, we first show that for any fixed D(−1)-triple {1, b, c} with b < c, there exist at most two d’s such that {1, b, c, d} is a D(−1)-quadruple with c < d. Using this result, we further show that there exist at most 10 D(−1)-quadruples. AMS subject classifications: 11D09, 11D45
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2001
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732301003371