Bistable systems with stochastic noise: virtues and limits of effective one-dimensional Langevin equations

The understanding of the statistical properties and of the dynamics of multistable systems is gaining more and more importance in a vast variety of scientific fields. This is especially relevant for the investigation of the tipping points of complex systems. Sometimes, in order to understand the time series of given observables exhibiting bimodal distributions, simple one-dimensional Langevin models are fitted to reproduce the observed statistical properties, and used to investing-ate the projected dynamics of the observable. This is of great relevance for studying potential catastrophic changes in the properties of the underlying system or resonant behaviours like those related to stochastic resonance-like mechanisms. In this paper, we propose a framework for encasing this kind of studies, using simple box models of the oceanic circulation and choosing as observable the strength of the thermohaline circulation. We study the statistical properties of the transitions between the two modes of operation of the thermohaline circulation under symmetric boundary forcings and test their agreement with simplified one-dimensional phenomenological theories. We extend our analysis to include stochastic resonance-like amplification processes. We conclude that fitted one-dimensional Langevin models, when closely scrutinised, may result to be more ad-hoc than they seem, lacking robustness and/or well-posedness. They should be treated with care, more as an empiric descriptive tool than as methodology with predictive power.

Promoting sustainability: Efficacy and adoption of tobacco-based insecticides in Nigeria

The promotion of technologies seen to be aiding in the attainment of agricultural sustainability has been Popular amongst Northern-based development donors for many years. One of these, botanical insecticides (e.g., those based on neem, Pyrethrum and tobacco) have been a particular favorite as they are equated with being 'natural' and hence less damaging to human health and the environment. This paper describes the outcome of interactions between one non-government organisation (NGO), the Diocesan Development Services (DDS), based in Kogi State, Nigeria, and a major development donor based in Europe that led to the establishment of a programme designed to promote the Virtues of a tobacco-based insecticide to small-scale farmers. The Tobacco Insecticide Programme (TIP) began in the late 1980s and ended in 200 1, absorbing significant quantities of resource in the process. TIP began with exploratory investigations of efficacy on the DDS seed multiplication farm followed by stages of researcher-managed and farmer-managed on-farm trials. A survey in 2002 assessed adoption of the technology by farmers. While yield benefits from using the insecticide were nearly always positive and statistically significant relative to an untreated control, they were not as good as commercial insecticides. However, adoption of the tobacco insecticide by local farmers was poor. The paper discusses the reasons for poor adoption, including relative benefits in gross margin, and uses the TIP example to explore the differing power relationships that exist between donors, their field partners and farmers. (C) 2004 by The Haworth Press, Inc. All rights reserved.

The politics of weddings at Athens: an iconographic assessment

Despite recent scholarship that has suggested that most if not all Athenian vases were created primarily for the symposium, vases associated with weddings constitute a distinct range of Athenian products that were used at Athens in the period of the Peloponnesian War and its immediate aftermath (430-390 BCE). Just as the subject matter of sympotic vases suggested stories or other messages to the hetaireia among whom they were used, so the wedding vases may have conveyed messages to audiences at weddings. This paper is an assessment of these wedding vases with particular attention to function: how the images reflect the use of vases in wedding rituals (as containers and/or gifts); how the images themselves were understood and interpreted in the context of weddings; and the post-nuptial uses to which the vases were put. The first part is an iconographic overview of how the Athenian painters depicted weddings, with an emphasis on the display of pottery to onlookers and guests during the public parts of weddings, important events in the life of the polis. The second part focuses on a large group of late fifth century vases that depict personifications of civic virtues, normally in the retinue of Aphrodite (Pandemos). The images would reinforce social expectations, as they advertised the virtues that would create a happy marriage—Peitho, Harmonia (Harmony), and Eukleia (Good Repute)—and promise the benefits that might result from adherence to these values—Eudaimonia and Eutychia (Prosperity), Hygieia (Health), and Paidia (Play or Childrearing). Civic personifications could be interpreted on the private level—as personal virtues—and on the public level—as civic virtues— especially when they appeared on vases that functioned both in public and private, at weddings, which were public acknowledgments of private changes in the lives of individuals within the demos.

Effects of variation in the palm stearin: palm olein ratio on the crystallisation of a low-trans shortening

Changes in the theological properties during crystallisation and in the crystal size and morphology of blends containing rapeseed oil with varying percentages of palm stearin (POs) and palm olein (POf) have been studied. The crystals formed from all three blends were studied by confocal laser scanning microscopy, light microscopy and environmental scanning electron microscopy, which revealed the development of clusters of 3-5 individual elementary "spherulites" in the early stages of crystallisation. The saturated triacylglycerol content of the solid crystals separated at the onset of crystallisation was much greater than that in the total fat. Fat blends with a higher content of palm stearin had a more rapid nucleation rate when observed by light microscopy, and this caused an earlier change in the rheological properties of the fat during crystallisation. Using a low torque amplitude (0.005 Pa, which was within the linear viscoelastic region of all samples studied) and a frequency of 1 Hz, the viscoelastic properties of melted fat during cooling were studied. All samples, prior to crystallisation, showed weak viscoelastic liquid behaviour (G '', loss modulus >G', storage modulus). After crystallisation a more "solid like" behaviour was observed (G' similar to or greater than G ''). The blend having the highest concentration of POs was found to have the earliest onset of crystallisation (27% w/w POs; 12 mins, 22% w/w POs; 13.5 mins, 17% w/w POs, 15 mins, respectively). However, there were no significant differences in the time to the point when G' became greater than G' among the three blends. (c) 2006 Elsevier Ltd. All rights reserved.

Robot free will

We introduce the perspex machine which unifies projective geometry and Turing computation and results in a supra-Turing machine. We show two ways in which the perspex machine unifies symbolic and non-symbolic AI. Firstly, we describe concrete geometrical models that map perspexes onto neural networks, some of which perform only symbolic operations. Secondly, we describe an abstract continuum of perspex logics that includes both symbolic logics and a new class of continuous logics. We argue that an axiom in symbolic logic can be the conclusion of a perspex theorem. That is, the atoms of symbolic logic can be the conclusions of sub-atomic theorems. We argue that perspex space can be mapped onto the spacetime of the universe we inhabit. This allows us to discuss how a robot might be conscious, feel, and have free will in a deterministic, or semi-deterministic, universe. We ground the reality of our universe in existence. On a theistic point, we argue that preordination and free will are compatible. On a theological point, we argue that it is not heretical for us to give robots free will. Finally, we give a pragmatic warning as to the double-edged risks of creating robots that do, or alternatively do not, have free will.

Plutarch's 'Lives' and the critical reader

This paper analyses the kind of reader constructed in the Lives and the response expected of that reader. It begins by attempting a typology of moralising in the Lives. Plutarch does sometimes make general 'gnomic' statements about right and wrong, and occasionally passes explicit judgement on a subject's behaviour. In addition, the language with which Plutarch describes character is inherently moralistic; and even when he does not pass explicit judgment, Plutarch can rely on a common set of notions about what makes behaviour virtuous or vicious. However, the application of any moral lessons is left to the reader's own judgement. Furthermore, Plutarch's use of multiple focalisations means that the reader is sometimes presented with varying ways of looking at the same individual or the same historical situation. In addition, many incidents or anecdotes are marked by 'multivalence': that is, they resist reduction to a single moral message or lesson. In such cases, the reader is encouraged to exercise his or her own critical faculties. Indeed, the prologues which precede many pairs of Lives and the synkriseis which follow them sometimes explicitly invite the reader's participation in the work of judging. The syncritic structure of the Parallel Lives also invites the reader's participation, as do the varying perspectives provided by a corpus of overlapping Lives. In fact, the presence of a critical, engaged reader is presupposed by the agonistic nature of much of Greek literature, and of several texts in the Moralia which stage opposing viewpoints or arguments. Plutarch himself argues for such a reader in his How the young man should listen to poems.

The death of John Stuart Mill

This article surveys the fiercely contested posthumous assessments of John Stuart Mill in the newspaper and periodical press, in the months following his death in May 1873, and elicits the broader intellectual context. Judgements made in the immediate wake of Mill's death influence biographers and historians to this day and provide an illuminating aperture into the politics and shifting ideological forces of the period. The article considers how Mill's failure to control his posthumous reputation demonstrates both the inextricable intertwining of politics and character in the 1870s, and the difficulties his allies faced. In particular, it shows the sharp division between Mill's middle and working class admirers; the use of James Mill's name as a rebuke to his son; the redefinition of Malthusianism in the 1870s; and how publication of Mill's Autobiography damaged his reputation. Finally, the article considers the relative absence of both theological and Darwinian critiques of Mill.

John of Worcester and the science of history

Although the ‘chronicle of chronicles’ compiled at Worcester c1095-c1140 is now firmly attributed to John of Worcester, rather than Florence, major questions remain. A central issue is that the semi-autograph manuscript of the chronicle (now Oxford, Corpus Christi College, Ms 157) underwent several alterations to its structure and contents, as codicological evidence demonstrates. These included the incorporation of important illuminations, which have been surprisingly little considered in their overall manuscript context. This article focuses on these illuminations, and will argue that their presence in this version of the chronicle makes it something even more distinctive than the learned, revisionist chronological work of Marianus Scotus upon which it was based. John of Worcester’s chosen images are linked not only to his political narrative but also to theological works and to cutting-edge science, newly translated from Arabic. The presence of such miniatures in a twelfth-century chronicle is unique, and they are central to the final form given to the Worcester chronicle by John of Worcester himself in this key manuscript. Their analysis thus brings into focus the impressive assembly of materials which the chronicle offered to readers, to shape their understanding of ongoing events.

Through Jewish eyes: polemical literature and the medieval papacy

Although the medieval papacy's stance towards the Jews is a well-established area of research, Jewish ideas about the papacy remain a surprisingly underdeveloped historical topic. This article explores such ideas through the genre of polemic and disputational literature. Jewish writers were keen to ensure the safety of their communities in western Europe and grateful for statements of papal protection. They fully acknowledged that popes had always played and would continue to play an important role in safeguarding their well-being and determining their future. Yet although contemporary and later writers often valued papal protection more highly than that of monarchs, emperors or clergy, they also knew that it had its carefully circumscribed limits. Furthermore, although they were respectful of the papacy's power, both spiritual and temporal, they were dismissive of the scriptural and theological formulations on which Christian claims for apostolic authority rested and highly critical of Christian beliefs about the papacy, in particular that of apostolic succession. Jewish ideas about both individual popes and the medieval papacy as an institution are therefore nuanced and complex; they deserve rigorous and wide-ranging investigation and it is hoped that this article will contribute to their better understanding.

Rheological and electrical properties of NaY zeolite electrorheological fluid

The relations between the rheological and electrical properties of NaY zeolite electrorheological fluid and its solid phase are studied. It is found that then exist complex relations between its electrical and theological properties. The temperature spectra of dielectric properties of the fluid under high AC electric field are strongly field strength dependent. The relation between the DC conductivity of the fluid and the exciting electric field is experimentally presented as log sigma =A+BE1/2, when A is a strong function, but B, a very weak function of temperature. The shear stress of the fluid under a fixed electric field and temperature decreases with shear rate. A relaxation time for the adsorbed charges is estimated to be about 0.3 to 6.6 s in the temperature range from 280 to 380 K. The relaxation time qualitatively corresponds to the shear rate at which the shear stress begins to drop. The time dependent leaking current of the ER fluids under DC electric field is also measured. The conductivity increase is mainly caused by the structure evolution of particles. The experimental results can he explained with the calculations of Davis (J. Appl. Phys. 81(1997) pp.1985-1991) and Martin (J. Chem. Phys. 110(1999) pp.4854-4866). It is predicted that the NaY zeolite ER fluid strength would get degraded slowly.

“Very sore nights and days”: the child’s experience of illness in early modern England, c. 1580-1720

Sick children were ubiquitous in early modern England, and yet they have received very little attention from historians. Taking the elusive perspective of the child, this article explores the physical, emotional, and spiritual experience of illness in England between approximately 1580 and 1720. What was it like being ill and suffering pain? How did the young respond emotionally to the anticipation of death? It is argued that children’s experiences were characterised by profound ambivalence: illness could be terrifying and distressing, but also a source of emotional and spiritual fulfilment and joy. This interpretation challenges the common assumption amongst medical historians that the experiences of early modern patients were utterly miserable. It also sheds light on children’s emotional feelings for their parents, a subject often overlooked in the historiography of childhood. The primary sources used in this article include diaries, autobiographies, letters, the biographies of pious children, printed possession cases, doctors’ casebooks, and theological treatises concerning the afterlife.