in this paper, using clarke’s generalized directional derivative and di-invexity we introduce new concepts of nonsmooth k-α-di-invex and generalized type i univex functions over cones for a nonsmooth vector optimization problem with cone constraints. we obtain some sufficient optimality conditions and mond-weir type duality results under the foresaid generalized invexity and type i cone-univexi...

In this paper, the concepts of derived sets and derived operators are generalized to $(L, M)$-fuzzy topological spaces and their characterizations are given.What is more, it is shown that the category of stratified $(L, M)$-fuzzy topological spaces,the category of stratified $(L, M)$-fuzzy closure spaces and the category of stratified $(L, M)$-fuzzy quasi-neighborhood spaces are all isomorphic ...

in addition to exploring constructions and properties of limits and colimits in categories of topologicalalgebras, we study special subcategories of topological algebras and their properties. in particular, undercertain conditions, reflective subcategories when paired with topological structures give rise to reflectivesubcategories and epireflective subcategories give rise to epireflective subc...

these are notes from introductory survey lectures given at the institute for studies in theoretical physics and mathematics (ipm), teheran, in 2008 and 2010. we present the definition and the fundamental properties of fomin-zelevinsky’s cluster algebras. then, we introduce quiver representations and show how they can be used to construct cluster variables, which are the canonical generators of ...

We study degenerations of the Hall algebras exact categories induced by degree functions on set isomorphism classes indecomposable objects. prove that each such degeneration algebra H(E) an category E is a smaller structure E′<E same additive A. When admissible in sense Enomoto, for any satisfying suitable finiteness conditions, we H(E′) this kind. In additively finite case, all form simplicial...

resorption of tooth structures can occur as a result of physiological, pathological, and idiopathic factors. early diagnosis and appropriate treatment can prevent its serious complications. this case report presents surgical endodontic management of a trauma-induced perforating external root resorption, which was diagnosed with the help of cone beam computed tomography. following root canal tre...

background marketing new radiography devices necessitates documenting their absorbed x-ray doses. since the current literature lacks studies on new devices, we assessed the doses of two new devices that had not previously been assessed. objectives the new devices were compared to the promax three dimensional (3d) scanner at two fields of view (fov) in nine critical head and neck tissues and org...

introduction: this study sought to assess the effects of amperage (ma) and field of view (fov) on intracanal metal post artifacts and the diagnostic parameters for detection of vertical root fracture (vrf) in teeth with intracanal posts. methods and materials: in this diagnostic study, 80 human single-canal teeth were evaluated by cone-beam computed tomography (cbct). nickel chrome cast posts w...