We compute the center in case q is a primitive root of unity. 1. Introduction Let F be a eld of characteristic zero. There are several ways to quantize the matrix algebra M n (F). Among them, the most common is probably the algebra introduced by Faddeev, Reshetikhin, and Takhtajan in 4]. Denote that algebra by M n (q). In 3] Dipper and Donkin deened another quantized matrix algebra which has ma...

Background Endometriosis is the presence of endometrial tissue outside of the uterine cavity and is the most common gynecologic disorder in women of reproductive age. We have preliminary evidence that in the presence of a 3-dimensional (3-D) fibrin matrix, human endometrial glands, stroma, and neovascularization can develop in vitro, mimicking the earliest stages of endometriosis. The aim of th...

the matrix functions appear in several applications in engineering and sciences. the computation of these functions almost involved complicated theory. thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. the aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. more...

We construct a nondegenerate symmetric bilinear form on quantized enveloping algebras associated to Borcherds superalgebras. With this, we study its center and its universal R-matrix.

Cloud Computing is a paradigm to provide the services like Infrastructure as a Service (IaaS), Platform as a Service (PaaS) and Software as a Service (SaaS). Virtualization technology plays an important role to provide these services. Due to lack of finance as well as requirement, data center providers are unable to establish data centers all over the world. To provide better Quality of Service...

We address the problem of estimating the real-time traffic flows in data center networks (DCNs), using the light-weight SNMP data. Unlike the problem of estimating the traffic matrix (TM) across origin-destination (OD) pairs in ISP networks, the traffic flows across servers or Top of Rack (ToR) switch pairs in DCNs are notoriously more irregular and volatile. Although numerous methods have been...

Let R be the convex subset of IR defined by q simultaneous linear matrix inequalities (LMI) A 0 + ∑n i=1 xiA (j) i 0, j = 1, 2, . . . , q. Given a strictly positive vector ω = (ω1, ω2, · · · , ωq), the weighted analytic center xac(ω) is the minimizer argmin (φω(x)) of the strictly convex function φω(x) = ∑q j=1 ωj log det[A (j)(x)]−1 over R. We give a necessary and sufficient condition for a po...

We currently witness the emergence of interesting new network topologies optimized towards the traffic matrices they serve, such as demand-aware datacenter interconnects (e.g., ProjecToR) and demandaware overlay networks (e.g., SplayNets). This paper introduces a formal framework and approach to reason about and design such topologies. We leverage a connection between the communication frequenc...