Abstract Let $T = (T_1, \ldots , T_n)$ be a commuting tuple of bounded linear operators on Hilbert space $\mathcal{H}$ . The multiplicity $T$ is the cardinality minimal generating set with respect to In this paper, we establish an additive formula for multiplicities class tuples operators. A special case main result states following: $n \geq 2$ and let $\mathcal{Q}_i$ $i 1, n$ proper closed shi...

introduction using ionization radiation for diagnostic and treatment fields has increased worldwide dramatically. this issue causes an increase in the absorbed and collective doses in society noticeably. with regard to two main principles in radiation protection, i.e., justification and optimization, it is necessary to have imaging process with minimum dose to patients and personnel. for achiev...

It is shown that for a given bipartite density matrix and by choosing a suitable separable set (instead of product set) on the separable-entangled boundary, optimal Lewenstein-Sanpera (L-S) decomposition can be obtained via optimization for a generic entangled density matrix. Based on this, We obtain optimal L-S decomposition for some bipartite systems such as 2⊗2 and 2⊗3 Bell decomposable stat...

Multimedia ad mult i hop networks are the prominent sources to deliver wide varieties of data. The data are in the form of mot ion with sound track called video, this type of data is differs from other formats and processing is alsodiffers. rocessing the video formatted data with compressed formats over network is streaming. The live video/realtime viewing applications work with streaming only....

To the Editor: There has recently been an explosion of interest in, and research on, the personality of opiate addicts. Individuals with substance use disorders suffer from high rates of non-substance use psychiatric disorders. A survey found axis II disorders in 90% of opiate addicts. Another survey showed that there is a relationship between opiate dependence and some particular personality p...

A new learning algorithm, learning by choice of int ern al repr esentations (CHIR), was recently int roduced. Th e basic version of thi s algoriths was developed for a two-layer, single-out put , feedforward network of binary neurons . This paper presents a generalized version of the CHIR algorithm th at is capable of t raining mult ipleoutput net works. A way to ada pt the algorit hm to mult i...

Motivated by studying synchronization mechanisms in gene regulatory networks (GRNs) and their relation to evolutionary events such as genetic duplication redundancy, we consider two types of mathematical dynamical models GRNs that depict general additive (SUM model) or multiplicative (MULT regulations. By a synchrony pattern mean clusters synchronized genes whose states coincide for all time. T...

This work focuses on the use of mult i-criteria decision-making method AHP for using in educational and vocational guidance. Analytical Hierarchy Process (AHP), proposed by the mathematician Thomas Saaty in 1980, is a method of analysis greatly used in the context of a mult i-criteria analysis; it allows the comparison and the choice between the preset options. To achieve this goal, a vital wor...