A real square matrix A is said to be Lyapunov diagonally semistable if there exists a positive definite diagonal matrix D, called a Lyapunov scaling factor of A, such that the matrix AD + DAT is positive semidefinite, Lyapunov diagonally semistable matrices play an important role in applications in several disciplines, and have been studied in many matrix theoretical papers, see for example [2]...

We investigate the dynamics of a flat isotropic brane Universe with two-component matter source: perfect fluid with the equation of state p = (γ − 1)ρ and a scalar field with a power-law potential V ∼ φ α. The index α can be either positive or negative. We describe solutions for which the scalar field energy density scales as a power-law of the scale factor (so called scaling solutions). In the...

We investigate the dynamics of a flat isotropic brane Universe with two-component matter source: perfect fluid with the equation of state p = (γ − 1)ρ and a scalar field with a power-law potential V ∼ φ α. The index α can be either positive or negative. We describe solutions for which the scalar field energy density scales as a power-law of the scale factor (so called scaling solutions). In the...

Corrosion and scaling in drinking water sources can lead to economic and health damages. These processes produce by-products in distribution systems, reduce chemical water quality, and are the cause of health issues among consumers. The aim of this study was to evaluate the corrosion and scaling potential of water supply sources of Marivan villages, Iran. In total, 106 water samples were collec...

This paper considers Gibbs’ phenomenon for scaling vectors in L2(R). We first show that a wide class of multiresolution analyses suffer from Gibbs’ phenomenon. To deal with this problem, in [11], Walter and Shen use an Abel summation technique to construct a positive scaling function Pr, 0 < r < 1, from an orthonormal scaling function φ that generates V0. A reproducing kernel can in turn be con...

An analytical equation of state was applied to calculate the thermodynamic properties for argon.The equation of state is that of Song and Mason. It is based on a statistical-mechanical perturbationtheory of the hard convex bodies and can be written as fifth-order polynomial in the density. Thereexist three temperature-dependent parameters: the second virial coefficient, an effective molecularvo...

This paper presents a method for tuning the scaling factors of PID type fuzzy controllers. The method tunes the input scaling factor related to change in error and the output scaling factor related to integral output of PID type of fuzzy controller using model error, error between reference model and process. Fuzzy Controller used is typical fuzzy PID type of controller in which the scaling fac...

In soft object modeling, in order to make the shapes of primitive soft objects more diverse, this paper proposes ray-scaling operations to deform a primitive soft object. The proposed ray-scaling operations perform scaling via a given scaling object. But unlike scaling of affine transform which gives the same scaling factor to all the points, ray-scaling operations give each point in different ...