Time-dependent tight binding

Starting from a Lagrangian mean-field theory, a set of time-dependent tight-binding equations is derived to describe dynamically and self-consistently an interacting system of quantum electrons and classical nuclei. These equations conserve norm, total energy and total momentum. A comparison with other tight-binding models is made. A previous tight-binding result for forces on atoms in the presence of electrical current flow is generalized to the time-dependent domain and is taken beyond the limit of local charge neutrality.

Geometry in preduals of spaces of 2-homogeneous polynomials on Hilbert spaces

Let H be a (real or complex) Hilbert space. Using spectral theory and properties of the Schatten–Von Neumann operators, we prove that every symmetric tensor of unit norm in HoH is an infinite absolute convex combination of points of the form xox with x in the unit sphere of the Hilbert space. We use this to obtain explicit characterizations of the smooth points of the unit ball of HoH .

Decompositions of spaces of measures

Let M be the Banach space of sigma-additive complex-valued measures on an abstract measurable space. We prove that any closed, with respect to absolute continuity norm-closed, linear subspace L of M is complemented and describe the unique complement, projection onto L along which has norm 1. Using this fact we prove a decomposition theorem, which includes the Jordan decomposition theorem, the generalized Radon-Nikodym theorem and the decomposition of measures into decaying and non-decaying components as particular cases. We also prove an analog of the Jessen-Wintner purity theorem for our decompositions.

Disturbance attenuation in linear systems via dynamical compensators: A parametric eigenstructure assignment approach

A simple approach is proposed for disturbance attenuation in multivariable linear systems via dynamical output compensators based on complete parametric eigenstructure assignment. The basic idea is to minimise the H-2 norm of the disturbance-output transfer function using the design freedom provided by eigenstructure assignment. For robustness, the closed-loop system is restricted to be nondefective. Besides the design parameters, the closed-loop eigenvalues are also optimised within desired regions on the left-half complex plane to ensure both closed-loop stability and dynamical performance. With the proposed approach, additional closed-loop specifications can be easily achieved. As a demonstration, robust pole assignment, in the sense that the closed-loop eigenvalues are as insensitive as possible to open-loop system parameter perturbations, is treated. Application of the proposed approach to robust control of a magnetic bearing with a pair of opposing electromagnets and a rigid rotor is discussed.

Unconditional constants and polynomial inequalities

If P is a polynomial on Rm of degree at most n then we define the polynomial |P|. Now if B is a convex compact set in Rm, we define the norm ||P||B of P as the maximum of P on B, and then we investigate the inequality || |P| ||B

The evolution of authoritarian processes: Fostering cooperation in large-scale groups

Authoritarianism, comprising conventionalism, authoritarian submission, and authoritarian aggression, is an important factor underlying prejudice and social discrimination and therefore is typically perceived as socially problematic. In contrast, our work examines adaptive features of authoritarianism. Evolutionary game theoretical considerations (e.g., biased social learning) point to authoritarian psychological processes that establish and foster group life (e.g., high levels of ingroup cooperation). First, the evolution of social learning (particularly conformist and prestige biases) leads to the establishment of local and distinct cultural groups (conventionalism). Second, local cultural rules solve coordination dilemmas by transforming these rules into normative standards against which others are evaluated (authoritarian submission). Third, the common rules within a particular culture or group are reinforced by a tendency to reward norm compliance and punish norm deviations (authoritarian aggression). Implications regarding the deduction of novel research questions as well as dealing with authoritarianism as a social problem are discussed.

Are rural development programmes socially inclusive? Social inclusion, civic engagement, participation, and social capital: Exploring the differences

Considerable importance is attached to social exclusion/inclusion in recent EU rural development programmes. At the national/regional operation of these programmes groups of people who are not participating are often identified as ‘socially excluded groups’. This article contends that rural development programmes are misinterpreting the social processes of participation and consequently labelling some groups as socially excluded when they are not. This is partly because of the interchangeable and confused use of the concepts social inclusion, social capital and civic engagement, and partly because of the presumption that to participate is the default position. Three groups identified as socially excluded groups in Northern Ireland are considered. It is argued that a more careful analysis of what social inclusion means, what civic engagement means, and why participation is presumed to be the norm, leads to a different conclusion about who is excluded. This has both theoretical and policy relevance for the much used concept of social inclusion.

Attitudes, norms, identity and environmental behaviour: Using an expanded theory of planned behaviour to predict participation in a kerbside recycling programme

In an effort to contribute to greater understanding of norms and identity in the theory of planned behaviour, an extended model was used to predict residential kerbside recycling, with self-identity, personal norms, neighbourhood identification, and injunctive and descriptive social norms as additional predictors. Data from a field study (N = 527) using questionnaire measures of predictor variables and an observational measure of recycling behaviour supported the theory. Intentions predicted behaviour, while attitudes, perceived control, and the personal norm predicted intention to recycle. The interaction between neighbourhood identification and injunctive social norms in turn predicted personal norms. Self-identity and the descriptive social norm significantly added to the original theory in predicting intentions as well as behaviour directly. A replication survey on the self-reported recycling behaviours of a random residential sample (N = 264) supported the model obtained previously. These findings offer a useful extension of the theory of planned behaviour and some practicable suggestions for pro-recycling interventions. It may be productive to appeal to self-identity by making people feel like recyclers, and to stimulate both injunctive and descriptive norms in the neighbourhood.

Genetic parentage in the squat lobsters Munida rugosa and M. sarsi (Crustacea, Anomura, Galatheidae)

Munida is the most diverse and cosmopolitan genus of the galatheid squat lobsters. The group has attracted much attention in recent years from both systematic and evolutionary perspectives, yet information on the biology, ecology, and evolution of this genus is very limited. We investigated the genetic parentage of two North Atlantic species; Munida rugosa and M. sarsi sampled from the Clyde Sea on the west coast of Scotland. Microsatellite markers were used to establish the parental contribution from embryos of berried females (M. rugosa, n=25 and M. sarsi, n=5). The frequency of multiple paternity observed in both species (86% for M. rugosa and 100% for M. sarsi) is the highest ever reported for any marine crustaceans. Invariably more than two sires were involved in each case (minimum of two to three for M. rugosa and four for M. sarsi). Findings indicate that multiple paternity is likely to be the norm in both species. Within most multiply sired broods, sire contribution was highly skewed towards a single male (66% of broods for M. rugosa and 100% for M. sarsi). Furthermore, embryos from different sires were randomly distributed across the female's brood patch. This is the first report of multiple paternity in galatheids. While a number of theories can account for the high incidence of multiple paternity in these species (e.g. convenience polyandry as a result of cryptic female choice, forced copulations, the influence of fishing pressures), at present it is not possible to disentangle their individual and/or combined effects.

Closable multipliers

Let $(X,\mu)$ and $(Y,\nu)$ be standard measure spaces. A function $\nph\in L^\infty(X\times Y,\mu\times\nu)$ is called a (measurable) Schur multiplier if the map $S_\nph$, defined on the space of Hilbert-Schmidt operators from $L_2(X,\mu)$ to $L_2(Y,\nu)$ by multiplying their integral kernels by $\nph$, is bound-ed in the operator norm. The paper studies measurable functions $\nph$ for which $S_\nph$ is closable in the norm topology or in the weak* topology. We obtain a characterisation of w*-closable multipliers and relate the question about norm closability to the theory of operator synthesis. We also study multipliers of two special types: if $\nph$ is of Toeplitz type, that is, if $\nph(x,y)=f(x-y)$, $x,y\in G$, where $G$ is a locally compact abelian group, then the closability of $\nph$ is related to the local inclusion of $f$ in the Fourier algebra $A(G)$ of $G$. If $\nph$ is a divided difference, that is, a function of the form $(f(x)-f(y))/(x-y)$, then its closability is related to the ``operator smoothness'' of the function $f$. A number of examples of non closable, norm closable and w*-closable multipliers are presented.

Confined Site Construction: A qualitative investigation of critical issues affecting management of Health and Safety

The construction industry is inherently risky, with a significant number of accidents and disasters occurring, particularly on confined construction sites. This research investigates and identifies the various issues affecting successful management of health and safety in confined construction sites. The rationale is that identifying the issues would assist the management of health and safety particularly in inner city centres which are mostly confined sites. Using empiricism epistemology, the methodology was based on qualitative research approach by means of multiple case studies in three different geographical locations of Ireland, UK and USA. Data on each case study were collected through individual interviews and focus group discussion with project participants. The findings suggest that three core issues are the underlying factors affecting management of health and safety on confined construction sites. It include, (i) lack of space, (ii) problem of co-ordination and management of site personnel, and (iii) overcrowding of workplace. The implication of this is that project teams and their organisations should see project processes from a holistic point of view, as a unified single system, where quick intervention in solving a particular issue should be the norm, so as not to adversely affect interrelated sequence of events in project operations. Proactive strategies should be devised to mitigate these issues and may include detail project programming, space management, effective constructability review and efficient co-ordination of personnel, plant and materials among others. The value of this research is to aid management and operation of brownfield sites by identifying issues impacting on health and safety management in project process.

“ Humanitarian Competition: An Intellectual History in Perspective”.

Competition has become the mantra for survival in a globalised world where meaningful existence is fraught with demands, which go beyond the material to the immaterial ‘byte-size’. This has been exemplified by our obsession with illusions of immediate fame and fortune. This paper contextualises and extends the debate about the role of competition in general. Here the four major myths of competition are explored and deconstructed, from a Darwinian perspective to a more demonstrably engaged perspective on ‘capabilities’ (Sen, 1999). The second section deals particularly with the key debates, theories that influenced Tsunesaburo Makiguchi’s seminal ideas of ‘humanitarian competition’ in 1903. The final part of the paper seeks to decipher the relevance of the key ideas of ‘humanitarian competition’ as proposed by Dr Daisaku Ikeda in his 2009 peace proposal. Here the transition from competition to cooperation is explored by tying together the key principles of global coexistence enunciated by both Makiguchi and Ikeda in the context of expanding spiritual influence by the forces of culture, morality and virtue. To engage with humanitarian competition calls for a major shift from hard power to soft power, from subordination to one of engagement. In other words this concept advances the Buddhist principle of peaceful co-existence, or Panchsheel, as a norm for human behaviour of love, kindness, sacrifice and peace through cooperation, where equality and mutual benefit are critical. Humanitarian competition provides the essential framework to establish a new world order as highlighted by both Makiguchi and Ikeda.

Critical factors affecting management of site operatives and personal in confined construction site

The aim of this paper is to identify and classify the numerous managerial issues encountered in the management of personnel in confined site construction. For the purpose of this research, a confined construction site is defined as a site where permanent works fit the site footprint, extending to levels above and/or below ground level, leaving spatial restrictions for other operations (e.g. plant and material movements, materials storage and temporary accommodation etc.) and require effective resource co-ordination beyond normal on-site management input. A literature review and analysis, case studies incorporating interviews and focus groups along with a questionnaire survey were used in order to gain a comprehensive insight into the issues in the management of personnel in a confined construction site environment. The following are the top five leading issues highlighted in the management of personnel in confined site construction; (1) Accidents due to an untidy site, (2) One contractor holding up another because of the lack of space, (3) A risk to personnel because of vehicular traffic on-site, (4) Difficult to facilitate several contractors at one work location, and (5) Numerous personnel working within the one space. In today’s modern environment, spatial restrictions are quickly becoming the norm in the industry. Therefore, the management of personnel on-site becomes progressively more difficult with the decrease in available space on-site. Where such environments exist, acknowledging the numerous issues highlighted above, aids site management in the supervision and co-ordination of personnel on-site, thus reducing accidents, increasing productivity and increase profit margins, in spatially restricted environments. As on-site management professionals successfully identify, acknowledge and counteract the numerous issues illustrated, the successful management of personnel on a confined construction site is achievable. By identifying the numerous issues, on-site management can proactively mitigate such issues through adopting counteractive measures and through successful identification of the traits identified.

C∗-Segal algebras with order unit

We introduce the notion of a (noncommutative) C *-Segal algebra as a Banach algebra (A, {norm of matrix}{dot operator}{norm of matrix} A) which is a dense ideal in a C *-algebra (C, {norm of matrix}{dot operator}{norm of matrix} C), where {norm of matrix}{dot operator}{norm of matrix} A is strictly stronger than {norm of matrix}{dot operator}{norm of matrix} C onA. Several basic properties are investigated and, with the aid of the theory of multiplier modules, the structure of C *-Segal algebras with order unit is determined.

Equidiscrimination contours around an achromatic colour are convex but not balanced

A model based on the postreceptor channels followed by a Minkowski norm (Minkowski model) is widely used to fit experimental data on colour discrimination. This model predicts that contours of equal discrimination in colour space are convex and balanced (symmetrical). We have tested these predictions in an experiment. Two new statistical tests have been developed to analyse convexity and balancedness of experimental curves. Using these tests we have found that while they are in line with the convexity prediction, our experimental contours strongly testify against balancedness. It follows that the Minkowski model is, generally, inappropriate to model colour discrimination data. © 2002 Elsevier Science (USA).