We provide some general conditions which ensure that a system of inequalities involving homogeneous polynomials with coefficients in \(S\)-adic field has nontrivial \(S\)-integral solutions. The proofs are based on the strong approximation property for Zariski-dense subgroups and adelic geometry numbers. give examples applications systems quadratic linear forms.

A Coxeter system is an ordered pair (W,S) where S is the generating set in a particular type of presentation for the Coxeter group W . A subgroup of W is called special if it is generated by a subset of S. Amalgamated product decompositions of a Coxeter group having special factors and special amalgamated subgroup are easily recognized from the presentation of the Coxeter group. If a Coxeter gr...

objective(s) we determined the effect of a high fructose diet either alone or in combination with iranian shallot or garlic extract on cognitive functions, plasma lipid profile, and the intraperitoneal glucose tolerance test (ipgtt). materials and methods following induction of insulin resistance in fructose-fed rats (fru-fed), they were randomly assigned to three subgroups. the first subgroup ...

A lattice isomorphism between inverse semigroups S and T is an isomorphism between their lattices of inverse subsemigroups. When S is aperiodic, it has long been known that a bijection is induced between S and T . Various authors have introduced successively weaker ‘archimedean’ hypotheses under which this bijection is necessarily an isomorphism, naturally inducing the original lattice isomorph...

A variety of methods for genotyping Staphylococcus aureus isolates exists: the two most widely used methods are pulsed-field gel electrophoresis (PFGE) and multilocus sequence typing (MLST). Here, we describe a sequence-based genotyping method based on genes encoding S. aureus superantigen-like proteins, which belong to a family of exotoxins called staphylococcal exotoxins. The sequences of PCR...

Background and Purpose: Survival tree model is a nonparametric method which can be used to identify the affecting factors from a specific time to the onset of an event. In this method, the categories are selected according to the most important factors. The purpose of this study was to determine the factors affecting the duration of breastfeeding in mothers and introduce the homogeneous subgrou...

We prove that finitely generated purely loxodromic subgroups of a right-angled Artin group A(Γ) fulfill equivalent conditions that parallel characterizations of convex cocompactness in mapping class groups Mod(S). In particular, such subgroups are quasiconvex in A(Γ). In addition, we identify a milder condition for a finitely generated subgroup of A(Γ) that guarantees it is free, undistorted, a...

In this short note we answer a query of Brodzki, Niblo, \v{S}pakula, Willett and Wright \cite{ULA} by showing that all bounded degree uniformly locally amenable graphs have Property A. For the second result recall Kaiser \cite{Kaiser} proved if $\Gamma$ is finitely generated group $\{H_i\}^\infty_{i=1}$ Farber sequence finite index subgroups, then associated Schreier graph A only amenable. We s...