In this paper, we develop some important Fourier analysis tools in the context of time scales. In particular, we present a generalized Fourier transform in this context as well as a critical inversion result. This leads directly to a convolution for signals on two (possibly distinct) time scales as well as several natural classes of time scales which arise in this setting: dilated, closed under...

The theory of time scales was introduced by Hilger [1] in his Ph.D. thesis in 1988 in order to unify continuous and discrete analysis. Recently, many authors have extended some fundamental integral inequalities used in the theory of differential and integral equations on time scales. For example, we refer the reader to the literatures [2–8] and the references cited therein. In this paper, we in...

An alternative to representing curves at a single scale or a fixed number of multiple scales is to represent them only at Ž . their natural i.e. most significant scales. This allows all the important information concerning the different sized structures contained in the curve to be explicitly represented without the overhead of redundant representations of the curve. This paper describes severa...

BACKGROUND The International Classification of Functioning, Disability and Health (ICF), and its version for children and youth (ICF-CY), has been increasingly adopted as a system to describe function and disability. A content analysis of the Vineland Adaptive Behavior Scales-II (VABS-II) was conducted to examine congruence with the functioning and disability component of this framework. METH...

The compatibility between a composite beam cross-sectional analysis based on the variational asymptotic approach, and a helicopter rotor blade model which is part of a comprehensive rotorcraft analysis code is examined. It was found that the finite element cross-sectional analysis code VABS can be combined with a moderate deflection rotor blade model in spite of the differences between the form...

To understand the Medicare compensation system for physician services, it is necessary to understand how the relative values of medical services are translated into fee schedule payment amounts. Basically, the relative value of a procedure multiplied by the number of dollars per Relative Value Unit (RVU) is the fee paid by Medicare for the procedure (RVUW physician work, RVUPE practice expense,...

Motivation: Assessing the enrichment of biological pathways is a critical problem in systems biology, which has received much attention in recent years. However, available methods often make simplifying assumptions about correlations among components of pathways, and/or rely on appropriate choices of input parameters and sizes of gene sets. In addition, current methods often focus on analysis o...

The Centers for Medicare & Medicaid Services (CMS) uses the resource-based relative value scale to pay physicians and other practitioners for professional services. The work values measure the relative levels of professional time and intensity (physical effort, skills, and stress) associated with providing services. CMS asked RAND to develop a model to validate the work values using external da...

The increased availability of a wide range of sensing technologies over the last few decades has resulted in an equivalent increased need for reliable information fusion methods in machine learning applications. While existing theories such as the Dempster-Shafer theory and the possibility theory have been used for several years now, they do not provide guarantees of error calibration in inform...

This paper presents a new approach for determining the effective control signals for damping of oscillations by performance comparison of Unified Power Flow Controller in coordination with Power Oscillation Damping Controller and Power System Stabilizer. For the analysis Modified Phllips-Heffron Model of Single Machine Infinite Bus system is established with Unified Power Flow Controller. Impac...