Antibiotic abuse has potentially serious effects on health. Rational use of antibiotics has become a basic principle in medical practice. In this paper we propose a semantic approach for rational use of antibiotics, by introducing the semantic technology into the monitoring on the use of antibiotic agents. In particular, we investigate the problem from the perspective of clinical research. The ...

In the paper [Ngo09] we have studied the algebraic ODE of first order F (x, y, y′) = 0, where F ∈ Q[x, y, z], given its proper rational parametrization of the corresponding surface F (x, y, z) = 0. Using this proper parametrization we deduced the problem of finding rational general solutions of the equation F (x, y, y′) = 0 to finding rational general solutions of its associated system of ODEs ...

We propose a numerically reliable computational approach to design least order fault detectors using descriptor system techniques. This approach is based on a new numerically stable algorithm to compute least order rational nullspace bases of rational matrices. The main computation in this algorithm is the orthogonal reduction of the system pencil matrix to a Kronecker-like form. The proposed a...

2.1 Series over a graded monoid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.1.1 Graded monoid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.1.2 Topology on K〈〈M〉〉 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Distance on K〈〈M〉〉 . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

Abstract. In the table of multivariate rational interpolants the entries are arranged such that the row index indicates the number of numerator coefficients and the column index the number of denominator coefficients. If the homogeneous system of linear equations defining the denominator coefficients has maximal rank, then the rational interpolant can be represented as a quotient of determinant...

An orthogonal system of rational functions is introduced. Some results on rational approximations based on various orthogonal projections and interpolations are established. These results form the mathematical foundation of the related spectral method and pseudospectral method for solving differential equations on the half line. The error estimates of the rational spectral method and rational p...

A weighted orthogonal system on the half-line based on the Chebyshev rational functions is introduced. Basic results on Chebyshev rational approximations of several orthogonal projections and interpolations are established. To illustrate the potential of the Chebyshev rational spectral method, a model problem is considered both theoretically and numerically: error estimates for the Chebyshev ra...

In this paper we introduce the notion of rational Hausdorff divisor, we analyze the dimension and irreducibility of its associated linear system of curves, and we prove that all irreducible real curves belonging to the linear system are rational and are at finite Hausdorff distance among them. As a consequence, we provide a projective linear subspace where all (irreducible) elements are solutio...

The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational charact...

A review of the relationship between the frequency response function of linear system and the DFT of the input and output signals show that the output DFT is a sum of two terms. The first term contain the FRF multiplied with the input DFT and the second term capture the effect when the system is not operating in a periodic fashion. The utilization of these two terms when performing non-parametr...