We show that exceptional sequences for hereditary algebras are characterized by the fact that the product of the corresponding reflections is the inverse Coxeter element in the Weyl group. We use this result to give a new combinatorial characterization of clusters tilting sets in the cluster category in the case where the hereditary algebra is of finite type.

This paper presents an image reconstruction algorithm for inverse scattering using the Finite Element Method in conjunction with a modified nonlinear least -squares technique. The modification involves grouping of dielectrics within shells and conditioning the correction terms, which improve the convergence process substantially. The technique is applied to detect objects embedded in a host die...

Triangulation of parametric surfaces is important for visualization and finite element analysis. The wrong choice of parameterization can spoil a triangulation or even cause the algorithm to fail. We present a new method that uses a local inverse mapping for almost uniformly sampling and triangulating a surface, so that its parameterization becomes irrelevant; differential geometry provides alm...

in this paper, the axisymmetric corrugated diaphragm using finite element method will be discussed, so that half of these diaphragms’ cross sections and later the applied pressure will be considered. following this, using the consequent equations and visual basic software, a computer program will be provided which receives the diaphragms’ particulars such as diameter, thickness, pressure and th...

abstract- mechanical damage degrades fruit quality in the chain from production to the consumption. damage is due to static, impact and vibration loads during processes such as harvesting, transportation, sorting and bulk storage. in the present study finite element (fe) models were used to simulate the process of static bruising for apple fruits by contact of the fruit with a hard surface. thr...

let $g$ be a finite group‎. ‎we denote by $psi(g)$ the integer $sum_{gin g}o(g)$‎, ‎where $o(g)$ denotes the order of $g in g$‎. ‎here we show that‎ ‎$psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$‎, ‎where $a_5$ is the alternating group of degree $5$‎. ‎also we prove that $psi(psl(2,7))

the high costs of experimental works on the nanocomposites can be reduced through implementation of analytical and numerical studies. to study the effect of impact energy on the nanocomposites, a nanocomposite composedof polyurethane and clay nanoparticles is selected as a case study. the finite element modeling is carried out using the ansys software, and the impact analysis is performed using...

background and aims. heat generated within tooth during clinical dentistry can cause thermally induced damage to hard and soft components of the tooth (enamel, dentin and pulp). geometrical characteristics of immature teeth are different from those of mature teeth. the purpose of this experimental and theoretical study was to investigate thermal changes in immature permanent teeth during the us...

objective: in all ceramic fixed partial dentures the connector area is a common fracture location. the survival time of three-unit fixed partial dentures may be improved by altering the connector design in regions of maximum tension. the purpose of this study was to determine the effect of buccolingual increase of the connector width on the stress distribution in posterior fixed partial denture...