RATIONALE A disintegrin and metalloprotease 33 (ADAM33) has been identified as a susceptibility gene for asthma and single nucleotide polymorphisms (SNPs) in this gene have been associated with excessive decline of lung function in individuals with asthma. OBJECTIVES To assess whether SNPs in ADAM33 are associated with accelerated lung function loss in the general population and with chronic ...

Astronomy has always been propelled by the discovery of new phenomena lacking precedent, often followed theories to explain their existence and properties. In modern era large surveys tiling sky at ever high precision sampling rates, these serendipitous discoveries look set continue, with recent examples including Boyajian's Star, Fast Radio Bursts `Oumuamua. Accordingly, we here ahead aim prov...

Найдено предельное совместное распределение статистик $T_1$, $T_2$, $T_3$ следующих трех критериев пакета НИСТ: «Monobit Test», «Frequency Test within a Block» и «Test for the Longest Run of Ones in в ситуации, когда исследуемая последовательность состоит из независимых случайных величин, имеющих Бернулли с параметром $p = \frac12$. Установлены необходимые достаточные условия асимптотической не...

We prove that the trace of Hecke operator $T_2$ acting on vector space cusp forms level one takes no repeated values, except for 0, which only occurs when is trivial.

Groundstate magnetism of the one-band Hubbard model on frustrated square lattice where both nearest-neighbour $t_1$ and next-nearest-neighbour $t_2$ hoppings are considered at half-filling revisited within mean field approximation. Two new magnetic phases detected intermediate strength $U$ relative strong frustration $t_2/t_1$, named double-stripe plaquette antiferromagnetic states, which metal...

Let \(a,n \in \mathbb Z^+\), with \(a<n\) and \(\gcd (a,n)=1\). \(P_{a,n}\) denote the lattice parallelogram spanned by (1, 0) (a, n), that is, $$P_{a,n} = \left\{ t_1(1,0)+ t_2(a,n) \, : 0\le t_1,t_2 \le 1 \right\} , $$ and let $$V(a,n) \# \text { of visible points in interior } P_{a,n}.$$ In this paper we prove some elementary (and straightforward) results for V(a, n). The most ...