let $x$ be a sufficiently nice scheme. we survey some recent progress on dualizing complexes. it turns out that a complex in $kinj x$ is dualizing if and only if tensor product with it induces an equivalence of categories from murfet's new category $kmpr x$ to the category $kinj x$. in these terms, it becomes interesting to wonder how to glue such equivalences.

The concept of complex fuzzy sets is a generalization of ordinary fuzzy sets. In this paper, we introduce the concept of complex fuzzy subhypergroups ($H_{v}$-subgroups) as well as the concept of complex anti-fuzzy subhypergroups ($H_{v}$-subgroups). We investigate their properties and their relations with the traditional fuzzy (anti-fuzzy) subhypergroups ($H_{v}$-subgroups), and we prove some ...

in this research work, a novel parallel manipulator with high positioning and orienting rate is introduced. this mechanism has two rotational and one translational degree of freedom. kinematics and jacobian analysis are investigated. moreover, workspace analysis and optimization has been performed by using genetic algorithm toolbox in matlab software. because of decreasing moving elements, it i...

introduction multiple dentigerous cysts are rare and mostly associated with syndromes. case presentation the present case report is unique, as the dentigerous cysts enclosed the lateral incisor, canine, first and second premolars of the mandible and were accompanied by a complex odontoma, instead of first mandibular molar. conclusions multiple unilateral nosyndromic dentigerous cysts with compl...