Let £ be a partially ordered linear normed space over the field of real numbers whose positive cone K has nonempty interior K0.1 A functional / in E*, the conjugate space of E, is called positive if f(K)^0 and/5^0. A semi-group V of linear operators on E is called positive if r(A7) QK. It will be assumed that T contains the identity operator. This note is concerned with the properties of positi...

A [ An−1 + p1A n−2 + · · ·+ pn−1 In ] = −pn In . Since A is nonsingular, pn = (−1)n det(A) 6= 0; thus the result follows. Newton’s Identity. Let λ1, λ2, . . . , λn be the roots of the polynomial K(λ) = λ + p1λ n−1 + p2λ n−2 + · · · · · ·+ pn−1λ+ pn. If sk = λ k 1 + λ k 2 + · · ·+ λn, then pk = − 1 k (sk + sk−1 p1 + sk−2 p2 + · · ·+ s2 pk−2p1 + s1 pk−1) . Proof. From K(λ) = (λ − λ1)(λ − λ2) . . ...

Up to two centuries ago patients were lucky to survive even minor surgical interventions without contracting life-endangering infections, and having to endure extreme distress. Such advances highlighted the importance of clean dressing and sterility. Lint, gauze and cotton rapidly replaced older types of dressings. Almost a century later another major advance occurred when Winter defined the ph...

Up to two centuries ago patients were lucky to survive even minor surgical interventions without contracting life-endangering infections, and having to endure extreme distress. Such advances highlighted the importance of clean dressing and sterility. Lint, gauze and cotton rapidly replaced older types of dressings. Almost a century later another major advance occurred when Winter defined the ph...

Four studies investigated the reliability and validity of thin slices of nonverbal behavior from social interactions including (a) how well individual slices of a given behavior predict other slices in the same interaction; (b) how well a slice of a given behavior represents the entirety of that behavior within an interaction; (c) how long a slice is necessary to sufficiently represent the enti...

Wisdom is a field of growing interest both inside and outside academic psychology, and researchers are increasingly interested in using measures of wisdom in their work. However, wisdom is a highly complex construct, and its various operationalizations are based on quite different definitions. Which measure a researcher chooses for a particular research project may have a strong influence on th...

INTRODUCTION The incidence and prevalence of mental problems among older people are difficult to map because the causes are often complex and the symptoms manifest in a range of ways. Therefore, there is a need for robust and useful instruments for screening mental problems in this group. One instrument used in Norway and around the world is the 30-item version of the General Health Questionnai...

The insulator characteristic of hexagonal boron nitride limits its applications in microelectronics. In this paper, the fluorinated hexagonal boron nitride nanosheets were prepared by doping fluorine into the boron nitride nanosheets exfoliated from the bulk boron nitride in isopropanol via a facile chemical solution method with fluoboric acid; interestingly, these boron nitride nanosheets demo...

Biomaterial is a nonviable substance used in a medical device intended to interact with biological systems. Their usage within a physiologic medium needs the characteristic features such as efficient and reliable. These characteristic features have provided with a suitable combination of chemical, mechanical, physical and biological properties [2]. Nowadays, biomaterials are commonly used in va...