On weak and strong Peano theorems

We say that the Peano theorem holds for a topological vector space $E$ if, for any continuous mapping $f : {\Bbb R}\times E \to E$ and any $(t(0), x(0))$ is an element of ${\Bbb R}\times E$, the Cauchy problem $\dot x(t) = f(t,x(t))$, $x(t(0)) = x(0)$, has a solution in some neighborhood of $t(0)$. We say that the weak version of Peano theorem holds for $E$ if, for any continuous map $f : {\Bbb R}\times E \to E$, the equation $\dot x(t) = f (t, x(t))$ has a solution on some interval. We construct an example (answering a question posed by S. G. Lobanov) of a Hausdorff locally convex topological vector space E for which the weak version of Peano theorem holds and the Peano theorem fails to hold. We also construct a Hausdorff locally convex topological vector space E for which the Peano theorem holds and any barrel in E is neither compact nor sequentially compact.

On Osgood theorem in Banach spaces

Let $X$ be a real Banach space, $\omega:[0,+\infty)\to\R$ be an increasing continuous function such that $\omega(0)=0$ and $\omega(t+s)\leq\omega(t)+\omega(s)$ for all $t,s\in[0,+\infty)$. By the Osgood theorem, if $\int_{0}^1\frac{dt}{\omega(t)}=\infty$, then for any $(t_0,x_0)\in R\times X$ and any continuous map $f: R\times X\to X$ and such that $\|f(t,x)-f(t,y)\|\leq\omega(\|x-y\|)$ for all $t\in R$, $x,y\in X$, the Cauchy problem $\dot x(t)=f(t,x(t))$, $(t_0)=x_0$ has a unique solution in a neighborhood of $t_0$ . We prove that if $X$ has a complemented subspace with an unconditional Schauder basis and $\int_{0}^1\frac{dt}{\omega(t)}

On the solvability of Hamilton's equations in Hilbert spaces

We construct a bounded function $H : l_2\times l_2 \to R$ with continuous Frechet derivative such that for any $q_0\in l_2$ the Cauchy problem $\dot p= - {\partial H\over\partial q}$, $\dot q={\partial H\over\partial p}$, $p(0) = 0$, q(0) = q_0$ has no solutions in any neighborhood of zero in R.

Seasonal patterns of singing activity vary with time of day in the nightingale (Luscinia megarhynchos)

Seasonal patterns of singing activity of male birds have been thoroughly studied, but little is known about how those patterns vary with time of day. Here, we censused mated and unmated male Nightingales (Luscinia megarhynchos) at four different hours of the day throughout the breeding cycle. In unmated males, singing activity increased until the young hatched in their neighborhood, and the seasonal variation was similar at each of the four hours of the day. In mated males, however, the seasonal patterns of singing activity differed between hours of the day. In morning (about the hour of egg-laying) and during the dusk chorus, the singing activity of mated males was strongly influenced by the females' reproductive state: singing activity was low before egg-laying and during incubation, but high during the egg-laying period. In the dawn chorus, however, singing activity showed a similar seasonal pattern in mated and unmated males and was high until late stages of the breeding cycle. Our results suggest that the social context influences singing behavior to a varying degree across the season, and that this variation also depends on time of day. The hour of data collection thus is an important but often neglected factor when seasonal changes of singing activity are studied.

Temperature-Driven Mixing-Demixing Behavior of Binary Mixtures of the Ionic Liquid Choline Bis(trifluoromethylsulfonyl)imide and Water

The ionic liquid (2-hydroxyethylammonium)trimethylammonium) bis(trifluoromethylsulfonyl)imide (choline bistriflimide) was obtained as a supercooled liquid at room temperature (melting point = 30 degrees C). Crystals of choline bistriflimide suitable for structure determination were grown from the melt in situ on the X-ray diffractometer. The choline cation adopts a folded conformation, whereas the bistriflimide anion exhibits a transoid conformation. The choline cation and the bistriflimide anion are held together by hydrogen bonds between the hydroxyl proton and a sulfonyl oxygen atom. This hydrogen bonding is of importance for the temperature-dependent solubility proper-ties of the ionic liquid. Choline bistriflimide is not miscible with water at room temperature, but forms one phase with water at temperatures above 72 degrees C (equals upper critical solution temperature). H-1 NMR studies show that the hydrogen bonds between the choline cation and the bistriflimide anion are substantially weakened above this temperature. The thermophysical properties of water-choline bistriflimide binary mixtures were furthermore studied by a photopyroelectric technique and by adiabatic scanning calorimetry (ASC). By photothermal analysis, besides highly accurate values for the thermal conductivity and effusivity of choline bistriflimide at 30 degrees C, the detailed temperature dependence of both the thermal conductivity and effusivity of the upper and lower part of a critical water-choline bistriflimide mixture in the neighborhood of the mixing-demixing phase transition could be determined with high resolution and accuracy. Together with high resolution ASC data for the heat capacity, experimental values were obtained for the critical exponents alpha and beta, and for the critical amplitude ratio G(+)/G(-). These three values were found to be consistent with theoretical expectations for a three dimensional Ising-type of critical behavior of binary liquid mixtures.

Work-family characteristics as determinants of sickness absence: A large-scale cohort study of three occupational grades

This study examined the previously unexplored occupational grade-specific relationships of domestic responsibilities, the age of children, and work-family spillover, with registered sickness absence (>3 days' sick leave episodes, a mean follow-up of 17 months; n = 18,366 municipal employees; 76% women). The results showed that negative spillover from work into family life predicted a heightened rate of sickness absence spells among both women and men in all occupational categories (except upper white-collar men), but especially among blue-collar and lower white-collar employees. Furthermore, among all white-collar employees (except upper white-collar men), having young children (

Metallicities of 4 blue supergiants near the Galactic centre

High resolution optical spectra of four blue supergiants (HD148422 B0.5 Ib; HD178487 B0.5 Ib; HD179407 B1 Ib, HD163522 B1 Ib) which lie within 4.5 kpc of the Galactic centre are presented. Careful differential LTE model atmosphere analyses are used to quantify the differences in photospheric metal abundances between these stars and MK spectral standards in the solar neighborhood. A detailed non-LTE model atmosphere analysis of one star (HD163522) confirms that the LTE differential abundances should be reliable, provided we use a comparison star with similar atmospheric parameters.

Trades Unions and the Transition away from 'actually existing unsustainability':From economic crisis to a new political economy beyond growth

Traditionally trades unions have accepted and promoted orthodox economic growth as a policy imperative. In recent years there has been a noticeable ‘greening’ of trade unions in relation to initiatives such as the ‘Green new deal’ and the creation of ‘green collar’ employment and the focus on a ‘just transition’ to a low carbon economy. Yet given the growing evidence of the negative impacts of economic growth in terms of environmental, resource and pollution impacts as well as the inability of economic growth to tackle (as opposed to managed) socio-economic inequality, it is timely to review the case for trades unions to fundamentally rethink the commitment to orthodox economic growth. That is, for trades unions to consider going beyond their current ‘green/sustainability’ strategies to consider more radical ‘post-growth’ policy positions. This chapter will explore some of the dimensions of a ‘post-growth’ trade union agenda by considering the evidence for going beyond growth from within the trade union movement (specifically looking at the International Labor Organization’s 2004 report on Economic Security, to internal union discussions around trades unionism and climate change) and external evidence ranging from Wilkinson and Pickett’s The Spirit Level (which suggests amongst other things that in the developed world what is needed is not economic growth but greater redistribution and lowering inequality – issues also of traditional interest to the Trades Union movement) to Tim Jackson’s Prosperity without Growth (which suggests that economic growth is ecologically unsustainable as well having passed a threshold beyond which it is contributing to human well-being in the developed world). As well as discussing the relationship between trades unionism and what may be called ‘green political economy’ (such as the ‘degrowth’ and ‘limits to growth’ perspectives) this chapter will also discuss the practical/policy implications of this ‘post-growth’ perspective in relation to trades unionism’s analysis of capitalism and its transformation in the context of a climate changed, carbon constrained world, including implications for ideas such as basic income, a shorter working week and what a trades unionism focused on how to achieve high quality of life within a low carbon context might look like.

Swarm scheduling approaches for work-flow applications with security constraints in distributed data-intensive computing environments

The scheduling problem in distributed data-intensive computing environments has become an active research topic due to the tremendous growth in grid and cloud computing environments. As an innovative distributed intelligent paradigm, swarm intelligence provides a novel approach to solving these potentially intractable problems. In this paper, we formulate the scheduling problem for work-flow applications with security constraints in distributed data-intensive computing environments and present a novel security constraint model. Several meta-heuristic adaptations to the particle swarm optimization algorithm are introduced to deal with the formulation of efficient schedules. A variable neighborhood particle swarm optimization algorithm is compared with a multi-start particle swarm optimization and multi-start genetic algorithm. Experimental results illustrate that population based meta-heuristics approaches usually provide a good balance between global exploration and local exploitation and their feasibility and effectiveness for scheduling work-flow applications. © 2010 Elsevier Inc. All rights reserved.

Longitudinal relations between sectarian and nonsectarian community violence and child adjustment in Northern Ireland

Although relations between political violence and child adjustment are well documented, longitudinal research is needed to adequately address the many questions remaining about the contexts and developmental trajectories underlying the effects on children in areas of political violence. The study examined the relations between sectarian and nonsectarian community violence and adolescent adjustment problems over 4 consecutive years. Participants included 999 mother-child dyads (482 boys, 517 girls), M ages = 12.18 (SD = 1.82), 13.24 (SD = 1.83), 13.61 (SD = 1.99), and 14.66 (SD = 1.96) years, respectively, living in socially deprived neighborhoods in Belfast, Northern Ireland, a context of historical and ongoing political violence. In examining trajectories of adjustment problems, including youth experience with both sectarian and nonsectarian antisocial behaviors, sectarian antisocial behavior significantly predicted more adjustment problems across the 4 years of the study. Experiencing sectarian antisocial behavior was related to increased adolescent adjustment problems, and this relationship was accentuated in neighborhoods characterized by higher crime rates. The discussion considers the implications for further validating the distinction between sectarian and nonsectarian violence, including consideration of neighborhood crime levels, from the child's perspective in a setting of political violence. Copyright © Cambridge University Press 2013.

An overview of waste crime, its characteristics, and the vulnerability of the EU waste sector

While waste is increasingly viewed as a resource to be globally traded, increased regulatory control on waste across Europe has created the conditions where waste crime now operates alongside a legitimate waste sector. Waste crime,is an environmental crime and a form of white-collar crime, which exploits the physical characteristics of waste, the complexity of the collection and downstream infrastructure, and the market opportunities for profit. This paper highlights some of the factors which make the waste sector vulnerable to waste crime. These factors include new legislation and its weak regulatory enforcement, the economics of waste treatment, where legal and safe treatment of waste can be more expensive than illegal operations, the complexity of the waste sector and the different actors who can have some involvement, directly or indirectly, in the movement of illegal wastes, and finally that waste can be hidden or disguised and creates an opportunity for illegal businesses to operate alongside legitimate waste operators. The study also considers waste crime from the perspective of particular waste streams that are often associated with illegal shipment or through illegal treatment and disposal. For each, the nature of the crime which occurs is shown to differ, but for each, vulnerabilities to waste crime are evident. The paper also describes some approaches which can be adopted by regulators and those involved in developing new legislation for identifying where opportunities for waste crime occurs and how to prevent it.

Women's Nightwork :deregulation as a straight road to equality?

The book considers the question whether the traditional prohibition of nightwork for female manual workers could be defended against EU (then: EEC) discrimination law requirements and against the German constitution itself. While I was working on the PhD, German labour law still prohibited manual workers (but not white collar employees, or nurses, or policewomen) from working nights. Just before the thesis was published, the German constitutional court held that the prohibition indeed violates the Constitution, but that it must not be repealed without providing for specific protection against health risks ensuing from night work. The Court thus mainly confirmed the thesis' results. The thesis first considers the history of the legislation (which was based on an ILO convention), and discusses the social and health risks related to night work. It then comes to the conclusion that gender roles imply that women are at a greater risk when working nights, but that there is no biological justification (except during pregnancy of course). The thesis further develops a recommendation, based on the constitutional welfare states principle and the constitutional protection of health, to not just abolish the prohibition, but to provide uplevel equalisation of working conditions for women and men. This was the first time I also tried to work comparatively (not perfect at all), but I have certainly improved since then. An English summary of the thesis was published in the 3rd issue of the Cardozo Women's Law Journal 1996, which was also my first ever publicatin in English

Workplace accommodation for older teachers in Japan and Germany: The role of the institutional context in supporting late career options for teachers with ill-health

Due to population ageing, Japan and Germany have to extend individuals´ working lives. However, disability increases with old-age. Workplace accommodation is a means to enable disabled individuals to remain productively employed. Drawing on qualitative interview data, this paper explores how School Authorities in these countries use workplace accommodation to support ill teachers, a white-collar profession strongly affected by (mental) ill-health. It furthermore explores how such measures influence older teachers´ career expectations and outcomes. It finds that even though the institutional contexts are similar, career options and expectations vary, though with similar (negative) outcomes for national strategies to extend working lives.

Detecting localized homogeneous anomalies over spatio-temporal data

The last decade has witnessed an unprecedented growth in availability of data having spatio-temporal characteristics. Given the scale and richness of such data, finding spatio-temporal patterns that demonstrate significantly different behavior from their neighbors could be of interest for various application scenarios such as – weather modeling, analyzing spread of disease outbreaks, monitoring traffic congestions, and so on. In this paper, we propose an automated approach of exploring and discovering such anomalous patterns irrespective of the underlying domain from which the data is recovered. Our approach differs significantly from traditional methods of spatial outlier detection, and employs two phases – i) discovering homogeneous regions, and ii) evaluating these regions as anomalies based on their statistical difference from a generalized neighborhood. We evaluate the quality of our approach and distinguish it from existing techniques via an extensive experimental evaluation.

Anomaly Detection for Data with Spatial Attributes

The problem of detecting spatially-coherent groups of data that exhibit anomalous behavior has started to attract attention due to applications across areas such as epidemic analysis and weather forecasting. Earlier efforts from the data mining community have largely focused on finding outliers, individual data objects that display deviant behavior. Such point-based methods are not easy to extend to find groups of data that exhibit anomalous behavior. Scan Statistics are methods from the statistics community that have considered the problem of identifying regions where data objects exhibit a behavior that is atypical of the general dataset. The spatial scan statistic and methods that build upon it mostly adopt the framework of defining a character for regions (e.g., circular or elliptical) of objects and repeatedly sampling regions of such character followed by applying a statistical test for anomaly detection. In the past decade, there have been efforts from the statistics community to enhance efficiency of scan statstics as well as to enable discovery of arbitrarily shaped anomalous regions. On the other hand, the data mining community has started to look at determining anomalous regions that have behavior divergent from their neighborhood.In this chapter,we survey the space of techniques for detecting anomalous regions on spatial data from across the data mining and statistics communities while outlining connections to well-studied problems in clustering and image segmentation. We analyze the techniques systematically by categorizing them appropriately to provide a structured birds eye view of the work on anomalous region detection;we hope that this would encourage better cross-pollination of ideas across communities to help advance the frontier in anomaly detection.