In this paper, by solving the inflationary flow equations, we study the constraints on the relic gravitational waves (RGW) from the observations at large scale, i.e. cosmic microwave background radiation (CMB) and large scale structure (LSS), and those at small scale, i.e. the pulsar timing, LIGO, and big bang nucleosynthesis (BBN). We find that the current constraints on the RGW from small sca...

Let A and B be n × m matrices. The matrix B is said to be g-row majorized (respectively g-column majorized) by A, if every row (respectively column) of B, is g-majorized by the corresponding row (respectively column) of A. In this paper all kinds of g-majorization are studied on Mn,m, and the possible structure of their linear preservers will be found. Also all linear operators T : Mn,m ---> Mn...

It is sometimes believed that a “broadband access” network, providing ample transmission capacity to residential environments, is enough so as to allow a flawless delivery of advanced services. However, the provisioning of a combination of multiple services with guaranteed quality up to the end-user terminal requires a carefully designed architecture incorporating the appropriated Quality of Se...

By Polnarev’s method we analytically calculate the polarization spectra of the cosmic microwave background radiation (CMB) generated by cosmic relic gravitational waves (RGW). In this analytic approach the physics involved in this generating process is more transparent. Consequently, the effects due to various elements of physics can be isolated easily. In solving the equation for evolution of ...

There are important connections between majorization and convex polyhedra. Both weak majorization and majorization are preorders related to certain simple convex cones. We investigate the facial structure of a polyhedral cone C associated with a layered directed graph. A generalization of weak majorization based on C is introduced. It de nes a preorder of matrices. An application in statistical...

Hyperspectral images classification relies on the accurate and efficient extraction of discriminative features, detail preservation, learning with limited training samples. This article, therefore, presents an advanced neural network architecture combined convolutional conditional random fields (ConvCRF) region growing (RGW) approaches to address these key issues. First, a depthwise separable f...

For many least-squares decomposition models efficient algorithms are well known. A more difficult problem arises in decomposition models where each residual is weighted by a nonnegative value. A special case is principal components analysis with missing data. Kiers (1997) discusses an algorithm for minimizing weighted decomposition models by iterative majorization. In this paper, we propose a m...

By Polnarev’s method we analytically calculate the polarization spectra of the cosmic microwave background radiation (CMB) generated by cosmic relic gravitational waves (RGW). In this analytic approach the physics involved in this generating process is more transparent. Consequently, the effects due to various elements of physics can be isolated easily. In solving the equation for evolution of ...

In this paper, we propose a new approach to secure and easy-to-use remote access to networked appliances (NAs). Based on the proposed approach, we develop a system in which servers in an Internet service provider network and a residential gateway (RGW) in a home network play an important role, including secure communication. The system allows us to access NAs, using mobile phone and PC anytime ...

In this paper we show how the Shannon entropy is connected to the theory of majorization. They are both linked to the measure of disorder in a system. However, the theory of majorization usually gives stronger criteria than the entropic inequalities. We give some generalized results for majorization inequality using Csiszár f-divergence. This divergence, applied to some special convex functions...