نتایج جستجو برای: 1 changes p
تعداد نتایج: 4173215 فیلتر نتایج به سال:
In 1978 Erdős, Faudree, Rousseau, and Schelp conjectured that r (Cp, Kr) = (p − 1) (r − 1) + 1. for every p ≥ r ≥ 3, except for p = q = 3. This has been proved for r ≤ 6, and for p ≥ r 2 − 2r. In this note we prove the conjecture for p ≥ 4r + 2.
In the title compound, C(21)H(23)N(2)O(2)P, the P atom exhibits tetra-hedral coordination; the P-N bond lengths are relatively short [1.6297 (13) and 1.6424 (13) Å]. In the crystal, adjacent mol-ecules are linked by N-H⋯O hydrogen bonds into a zigzag chain running along the c axis.
A Wilson prime is a prime p such that (p − 1)! = −1 (mod p). We report on a search for Wilson primes up to 2 × 10, and describe several new algorithms that were used in the search. In particular we give the first known algorithm that computes (p − 1)! (mod p) in average polynomial time per prime.
Bipartite graphs G = (L, R; E) and H = (L, R; E) are bi-placeabe if there is a bijection f : L ∪ R → L ∪ R such that f(L) = L and f(u)f(v) / ∈ E for every edge uv ∈ E. We prove that if G and H are two bipartite balanced graphs of order |G| = |H | = 2p ≥ 4 such that the sizes of G and H satisfy ‖ G ‖≤ 2p− 3 and ‖ H ‖≤ 2p− 2, and the maximum degree of H is at most 2, then G and H are bi-placeable...
We exhibit a simplified version of the construction of a field of Morley rank p with a predicate of rank p − 1, extracting the main ideas for the construction from previous papers and refining the arguments. Moreover, an explicit axiomatization is given, and ranks are computed.
We offer criteria for the existence of positive solutions for two-point right focal eigenvalue problems (−1) n−p y Δ n (t) = λ f (t, y(σ n−1 (t)), y Δ (σ n−2 (t)),..., y Δ p−1 (σ n−p (t))), t ∈ [0,1] ∩ T, y Δ i (0) = 0, 0 ≤ i ≤ p − 1, y Δ i (σ(1)) = 0, p ≤ i ≤ n − 1, where λ > 0, n ≥ 2,1 ≤ p ≤ n − 1 are fixed and T is a time scale.
A key pathological feature of late-onset Alzheimer's disease (LOAD) is the abnormal extracellular accumulation of the amyloid-β (Aβ) peptide. Thus, altered Aβ degradation could be a major contributor to the development of LOAD. Variants in the gene encoding the Aβ-degrading enzyme, angiotensin-1 converting enzyme (ACE) therefore represent plausible candidates for association with LOAD pathology...
We study the boundedness of the difference equation xn 1 pxn qxn−1 / 1 xn , n 0, 1, . . . , where q > 1 p > 1 and the initial values x−1, x0 ∈ 0, ∞ . We show that the solution {xn}n −1 of this equation converges to x q p − 1 if xn ≥ x or xn ≤ x for all n ≥ −1; otherwise {xn}n −1 is unbounded. Besides, we obtain the set of all initial values x−1, x0 ∈ 0, ∞ × 0, ∞ such that the positive solutions...
We consider N × N Hermitian random matrices with i.i.d. entries. The matrix is normalized so that the average spacing between consecutive eigenvalues is of order 1/N . We study the connection between eigenvalue statistics on microscopic energy scales η ≪ 1 and (de)localization properties of the eigenvectors. Under suitable assumptions on the distribution of the single matrix elements, we first ...
Let p denote a prime. In this article we provide the first published lower bounds for the greatest prime factor of p−1 exceeding (p−1) 1 2 in which the constants are effectively computable. As a result we prove that it is possible to calculate a value x0 such that for every x > x0 there is a p < x with the greatest prime factor of p − 1 exceeding x 3 5 . The novelty of our approach is the avoid...
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