We are going to discuss in brief and without proof the equality case in Theorem 1.1. Before we can do this, we need to establish a notation: The notation (a1; a2; :::; an) (b1; b2; :::; bn) is going to mean that for every two numbers i and j from the set f1; 2; :::; ng ; we have aibj = biaj: Note that if all numbers b1; b2; :::; bn are nonzero, then (a1; a2; :::; an) (b1; b2; :::; bn) is equiva...

Let X be an n–element finite set, 0 < k < n/2 an integer. Suppose that {A1, B1} and {A2, B2} are pairs of disjoint k-element subsets of X (that is, |A1| = |B1| = |A2| = |B2| = k,A1 ∩ B1 = ∅, A2 ∩ B2 = ∅). Define the distance of these pairs by d({A1, B1}, {A2, B2}) = min{|A1−A2|+ |B1−B2|, |A1−B2|+ |B1−A2|}. It is known ([2]) that this is really a distance on the space of such pairs and that the ...

aflatoxin b1 (afb1) is a secondary metabolite produced by some aspergillus species, which haveharmful impacts on human health such as carcinogenicity, teratogenicity, acute and chronic toxicity.in this study, the occurrence of afb1 in pistachio nuts during various preparing processes wasinvestigated in two pistachio farms from qazvin province, iran, from september to november 2012.high performa...

The Barashenkov-Bogdan-Zhanlav solitons $u_\pm$ for the forced NLS/Lugiato-Lefever model on line are considered. While instability of $u_+$ was established in original paper, \cite{B1}, analogous question $u_-$ only considered heuristically and numerically. We rigorously analyze stability various regime parameters. In particular, we show that is spectrally stable small pump strength $h$. Moreov...

Recently, Zhu [34] introduced a Stirling-Whitney-Riordan triangle [Tn,k]n,k?0 satisfying the recurrence Tn,k = (b1k + b2)Tn?1,k?1 [(2?b1 a1)k a2 ?(b1 b2)]Tn?1,k ?(a1 ?b1)(k 1)Tn?1,k+1, where initial conditions 0 unless ? k n and T0,0 1. Denote by Tn Pnk =0 Tn,k. In this paper, we show asymptotic normality of give an formula Tn. As applications, many famous combinatorial numbers, such as Stirlin...

Patient 1 Baseline 0.68 0 16.93 0 1.12 2.88 B1 0.34 1.22 71.88 0 13.90 56.60 Patient 2 Baseline 1.41 17.03 149.76 0 3.75 −12.44 B1 1.22 15.37 159.38 0 5.22 −17.08 Patient 3 Baseline 0.16 0 94.13 60.46 1.36 23.96 B1 0.13 0 101.99 37.13 13.61 48.75 Patient 4 Baseline 3.80 2.87 32.84 51.58 3.56 19.86 B1 1.14 8.10 103.84 12.73 16.10 50.11 Intracoronary electrocardiographic deflections during transm...

BACKGROUND Nuclear localization of cyclin B1 is an indicator for cells undergoing mitotic division, and the overexpression has shown promising results as a good prognostic predictor for patients of squamous cell carcinoma (SCC). Cyclin B1 overexpression among histological grades of conventional oral squamous cell carcinoma (COSCC), as well as comparison with verrucous carcinoma (VC) has been le...

Radial organization of nuclei with peripheral gene-poor chromosomes and central gene-rich chromosomes is common and could depend on the nuclear boundary as a scaffold or position marker. To test this, we studied the role of the ubiquitous nuclear envelope (NE) component lamin B1 in NE stability, chromosome territory position, and gene expression. The stability of the lamin B1 lamina is dependen...

We report crosstalk between three senescence-inducing conditions, DNA damage response (DDR) defects, oxidative stress (OS) and nuclear shape alterations. The recessive autosomal genetic disorder Ataxia telangiectasia (A-T) is associated with DDR defects, endogenous OS and premature ageing. Here, we find frequent nuclear shape alterations in A-T cells, as well as accumulation of the key nuclear ...