We describe a graphical model for probabilistic relationships|an alternative to the Bayesian network|called a dependency network. The graph of a dependency network, unlike a Bayesian network, is potentially cyclic. The probability component of a dependency network, like a Bayesian network, is a set of conditional distributions, one for each node given its parents. We identify several basic prop...

C λ-extended oscillator algebra and parasupersymmetric quantum mechanics Abstract The C λ-extended oscillator algebra is generated by {1, a, a † , N, T }, where T is the generator of the cyclic group C λ of order λ. It can be realized as a generalized deformed oscillator algebra (GDOA). Its unirreps can thus be easily exhibited using the representation theory of GDOAs and their carrier space sh...

This article considers the relation between spanning properties of lattice orbits discrete series representations and associated co-volume. The focus is on density theorem, which provides a trichotomy characterizing existence cyclic vectors separating vectors, frames Riesz sequences. We provide an elementary exposition that based solely basic tools from harmonic analysis, representation theory,...

In many image and signal processing applications, as interferometric synthetic aperture radar (SAR) or color image restoration in HSV or LCh spaces the data has its range on the one-dimensional sphere S. Although the minimization of total variation (TV) regularized functionals is among the most popular methods for edge-preserving image restoration such methods were only very recently applied to...

‎‎a natural generalization of two dimensional cyclic code ($t{tdc}$) is two dimensional skew cyclic code‎. ‎it is well-known that there is a correspondence between two dimensional skew cyclic codes and left ideals of the quotient ring $r_n:=f[x,y;rho,theta]/_l$‎. ‎in this paper we characterize the left ideals of the ring $r_n$ with two methods and find the generator matrix for two dimensional s...

Problems of cyclic scheduling are usually observed in flexible manufacturing systems which produce multitype parts where the automated guided vehicle system plays the role of a material handling system, as well as in various other multimodal transportation systems where goods and/or passenger itinerary planning plays a pivotal role. The schedulability analysis of the processes executed in the s...

the writers of this article seek to investigate thedramaturgy of howard barker in his the castle, staged in 1985 by royalshakespeare theatre, in order to discover and lay bare the baroque techniquesof representation in this political paly. relying on deleuze’s idea of baroquearchitecture and foucault’s theories of baroque representation, the writers tryto introduce this play as the expression o...

A general theorem is proved showing how to ohtain a constant-weight binary cyclic code from a p-ary linear cyclic code, where p is a prime,. by using a representation of Cl;(p) as cyclic shifts of a binary p-tuple. Based on this theorem, constructions are given for four classes of binary constant-weight codes. The first two classes are shown to achieve the Johnson upper bound on minimum distanc...

We study -length Abelian codes over Galois rings with characteristic , where and are relatively prime, having the additional structure of being closed under the following two permutations: i) permutation effected by multiplying the coordinates with a unit in the appropriate mixed-radix representation of the coordinate positions and ii) shifting the coordinates by positions. A code is -quasi-cyc...

objective: cell vital function has correlation with mechanical loadings that cell experiences. here, effects of in-vitro combined cyclic-static stretch on proliferation of human mesenchymal stem cell (hmsc) were evaluated. materials and methods: hmscs were cultured on gelatin coated elastic membranes, and exposed to stretch loading. four different regimes of cyclic, static, combined cyclic-sta...