Let C(T ) be a generalized Coxeter group, which has a natural map onto one of the classical Coxeter groups, either Bn or Dn. Let CY (T ) be a natural quotient of C(T ), and if C(T ) is simply-laced (which means all the relations between the generators has order 2 or 3), CY (T ) is a generalized Coxeter group, too . Let At,n be a group which contains t Abelian groups generated by n elements. The...

To detect POCl3 molecule, adsorption phenomena of this molecule on the pure, Al- and Si-doped BN sheet surfaces were investigated via density functional theory (DFT) approach. The most stable adsorption complexes, including POCl3/BN (O-B), POCl3/Al-BN (O-Al), and POCl3/Si-BN (O-Si), were predicted with the adsorption energies of about -8.64, -37.01 and, -62.01 kcal mol-1, respectively. Upon the...

Background: Tobacco use has toxic effects on different organs. This study was carried out to assess the effect of indigenous tobacco both in smoking (bidi) and smokeless (gutkha, zarda and khaini) forms on buccal cells at chromosomal level, through assessment of different nuclear anomalies as biomarker. Methods:This study was done on people living in Durgapur and its adjacent areas, West Bengal...

In this paper, we consider a generalized Catalan triangle de…ned by km n 2n n k for positive integer m: Then we compute the weighted half binomial sums with the certain powers of generalized Fibonacci and Lucas numbers of the form n X k=0 2n n+ k km n X tk; where Xn either generalized Fibonacci or Lucas numbers, t and r are integers for 1 m 6: After we describe a general methodology to show how...

Denote by Prop(Bn,BN ) the space of proper holomorphic maps from the unit ball Bn ⊂ Cn into the unit ball BN ⊂ CN , Propk(B,B ) := Prop(Bn,BN ) ∩ Ck(Bn) and Rat(Bn,BN ) := Prop(Bn,BN ) ∩ {rational maps}. We recall that F,G ∈ Rat(Bn ,BN ) are said to be equivalent if there are automorphisms σ ∈ Aut(Bn) and τ ∈ Aut(BN ) such that F = τ ◦ G ◦ σ. In this paper, we study the classification problem f...

OBJECTIVE Research shows a significant association between eating disorders (ED) and substance use disorders (SUD). The objective of this study is to examine the prevalence, chronology, and possibility of shared familial risk between SUD and ED symptomatology. METHOD Subjects included 1,206 monozygotic and 877 dizygotic adult female twins. ED symptomatology included anorexia (AN) and bulimia ...

We consider generalized exponents of a finite reflection group acting on a real or complex vector space V . These integers are the degrees in which an irreducible representation of the group occurs in the coinvariant algebra. A basis for each isotypic component arises in a natural way from a basis of invariant generalized forms. We investigate twisted reflection representations (V tensor a line...

0. Introduction. 1. Double scissors congruence groups and polylogarithms. 2. Different versions of polylogarithmic complexes. 2.1. The B-groups: Iterative universal definition. 2.2. The B-groups: Configurations of points. 2.3. The B -groups: Explicit definition using cross ratio. 2.4. Bloch group B3 (F ) and generalized cross ratio. 3. Isomorphisms between An 6n and geometric candidates of L&n(...