A full duality gives us a natural dual equivalence between a quasi-variety generated by a finite algebra and a class of structured topological spaces. There are many well-known examples of full dualities: Stone’s duality for Boolean algebras [12], Priestley’s duality for distributive lattices [11], and the Hofmann, Mislove, Stralka duality for semilattices [6]. A finite algebra M is called full...

Given a smooth prime Fano threefold X of genus 7 we consider its homologically projectively dual curve Γ and the natural integral functor Φ : D(X) → D(Γ). We prove that, for d ≥ 6, Φ gives a birational map from a component of the moduli scheme MX(2, 1, d) of rank 2 stable sheaves on X with c1 = 1, c2 = d to a generically smooth (2 d − 9)-dimensional component of the BrillNoether variety W 2d−11...

interval is taken as T s. A similar problem, but in discrete time, more, if there is an m such that Tableh(m)#Table',(Y) for every has been considered in [l] where the authors have proposed an ad hoc linear encoding-decoding scheme which does not Y, then II E,H and Table~(k)=Table~(Z). With the computer asymptotically achieve the known performance bound for the we found the tables and from them...

One of the classes of bent Boolean functions introduced by John Dillon in his thesis is family H. While this class corresponds to a nice original construction of bent functions in bivariate form, Dillon could exhibit in it only functions which already belonged to the wellknown Maiorana-McFarland class. We first notice that H can be extended to a slightly larger class that we denote by H. We obs...

We continue the study, begun in [Ru], of secant defective manifolds having “simple entry loci”. We prove that such manifolds are rational and describe them in terms of tangential projections. Using also [IR], their classification is reduced to the case of Fano manifolds of high index, whose Picard group is generated by the hyperplane section class. Conjecturally, the former should be linear sec...

We continue the study, begun in [Ru07], of secant defective man-ifolds having " simple entry loci ". We prove that such manifolds are rational and describe them in terms of tangential projections. Using also [IR07], their classification is reduced to the case of Fano manifolds of high index, whose Picard group is generated by the hyperplane section class. Conjecturally, the former should be lin...

Few weights codes have been an important topic of coding theory for decades. In this paper, a class of two-weight and three-weight codes for the homogeneous metric over the chain ring R = Fp + uFp + · · ·+ uFp are constructed. These codes are defined as trace codes. They are shown to be abelian. Their homogeneous weight distributions are computed by using exponential sums. In particular, we giv...

In this study we examined how the introduction of a parallel finger-tapping task influences second language speech (L2) encoding mechanisms and monitoring processes and how the level of proficiency impacts the efficiency and accuracy of L2 performance under single and dual task conditions. The results indicated that imposing dual task demands has a negative effect on the accuracy of lexical sel...

In dual-carrier (DC)-paired fiber optic long-reach transmission, which extends a point-to-multipoint coherent system to cascaded reconfigurable optical add-drop multiplexing (ROADM) system, narrow passband causes severe performance degradation of the edge subcarriers. this study, we proposed two-dimensional frequency and polarization domain coding multicarrier-frequency control for ROADM filter...

We introduce techniques that shed new light on the capacity analysis of multiuser channels, and apply these techniques to broadcast and multiple access channels. We rst determine a duality between broadcast and multiple access channels that can be used to obtain the capacity region and optimal transmission strategy for one channel based on the capacity-achieving transmission strategy and region...