This paper presents a variety of necessary conditions and sufficient conditions under which the feedback interconnection of two rational input-output systems, that is, systems having bilinear state space realizations, produces a closed-loop system which is also rational.

OBJECTIVES This study explores the analytic implications of using questions about difficulty with daily activities that do not specify whether to consider assistance. METHODS For 1,054 Asset and Health Dynamics of the Oldest Old Study Wave 2 respondents, we compared responses to questions about difficulty without reference to assistance (ambiguous difficulty) to those about difficulty without...

Objective: Through the spatial optimal allocation of land resources to improve efficiency use, promote rational layout various industries and infrastructure, provide a theoretical basis for comprehensive development regional social economy. Methods: Combining GIS analysis technology, logistic regression method CLUE-S model, taking Kaishan Fengweihan City, Laos, as research area, on was carried ...

This article presents an analysis of free vibration of elastically supported Timoshenko beams by using the spectral element method. The governing partial differential equation is elaborated to formulate the spectral stiffness matrix. Effectively, the non classical end boundary conditions of the beam are the primordial task to calibrate the phenomenon of the Timoshenko beam-soil foundation inter...

This paper presents evidence of emerging waterfowl conservation practices and attitudes among certain groups of contemporary Yup’ik subsistence hunters in the Yukon-Kuskokwim Delta, a remote, wetlands dominated region of western Alaska crucial to several species of PaciŽc migratory birds. By examining what factors motivate hunters to follow restraint practices and evaluating how federal goose m...

Valence electronic excitation spectra are calculated for the H(2)O···Br(2) complex using highly correlated ab initio potentials for both the ground and the valence electronic excited states and a 2-D approximation for vibrational motion. Due to the strong interaction between the O-Br and the Br-Br stretching motions, inclusion of these vibrations is the minimum necessary for the spectrum calcul...

Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the semigroup algebra $M_a(S)$ of a locally compact topological foundationsemigroup with identity.

Real analysis is a rigorous study of the (hopefully familiar) objects from calculus: the real numbers, functions, limits, continuity, derivatives, sequences, series, and integrals. While you are likely quite familiar with computing with these objects, this course will focus on developing the theoretical foundation for the definitions, theorems, formulas, and algorithms that you are used to usin...

We study the concept of a mixed matrix in connection with linear fractional transformations of lossless and passive matrix-valued rational functions, and show that they can be parametrized by sequences of elementary chain matrices. These notions are exemplified on a model of a Surface Acoustic Wave filter for which a state-space realization is carried out in detail. The issue of optimal design ...