A signed graph (G,σ) on n vertices is called a parity if there bijection f:V(G)→{1,2,…,n} such that for each edge e=uv of G, f(u) and f(v) have the same σ(e)=1, opposite parities σ(e)=−1. The signature σ parity-signature G. Let Σ−(G) denote set number negative edges over all possible parity-signatures σ. rna σ−(G) G given by σ−(G)=minΣ−(G). In other words, minimum cardinality an edge-cut in two...

The ongoing theoretical debate Scalar Implicatures (SIs) are pragmatic inferences that are normally derived in conversational exchanges when a scalar term is used. Different theoretical accounts have been proposed to explain how and when implicatures are derived. We will focus here on one particular aspect of this debate, namely, the question of the “cost” of implicature computation, which has ...

let a be a banach algebra and x be a banach a-bimodule. in this paper, we dene a new product on a  x and generalize the module extension banach algebras. we obtain characterizations of arens regularity, commutativity, semisimplity, and study the ideal structure and derivations of this new banach algebra.

let $mathfrak{l}$ be the virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. we investigate the structure of the lie triplederivation algebra of $mathfrak{l}$ and $mathfrak{g}$. we provethat they are both isomorphic to $mathfrak{l}$, which provides twoexamples of invariance under triple derivation.

let  be a banach algebra and  a derivation. in this paper, it is proved, under certain conditions, that , where  is the jacobson radical of . moreover, we prove that if  is unital and  is a continuous derivation, then , where  denotes the set of all primitive ideals such that  is commutative,  denotes the set of all maximal (modular) ideals such that  is commutative, and  is the set of all non-...

This article first explains concepts in taxometrics, including the meaning of "taxon" in relation to taxometric procedures. It then mathematically develops the MAXSLOPE procedure of Grove and Meehl which relies on nonlinear regression of one taxometric indicator variable on another. Sufficient conditions for MAXSLOPE's validity are set forth. The relationship between the point of maximum regres...

in the present study, the cooperative and diminutive interplay between halogen, hydride, and cation-σ interactions are studied in hmgh···li+(na+)···nccl, li+(na+)···hmgh···clcn and hmgh···clcn···li+(na+) complexes by means of ab initio calculations. to better understand the cooperative or diminutive effects in the ternary systems, the corresponding binary complexes are also considered. the esti...

A quadrangular embedding of a graph in surface Σ, also known as quadrangulation is cellular which every face bounded by 4-cycle. Σ minimal if there no (simple) smaller order Σ. In this paper we determine n(Σ), the for all surfaces, both orientable and nonorientable. Letting S0 denote sphere N2 Klein bottle, prove that n(S0)=4,n(N2)=6, n(Σ)=⌈(5+25−16χ(Σ))/2⌉ other surfaces where χ(Σ) Euler chara...